U S RENTALS INC
SC 13D/A, 1998-06-19
MISCELLANEOUS EQUIPMENT RENTAL & LEASING
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<PAGE>
 

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549

                                SCHEDULE 13D/A

                   UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (Amendment No. 1)*


                              U.S. Rentals, Inc.
         -------------------------------------------------------------
                               (Name of Issuer)


                                 Common Stock
              ---------------------------------------------------
                        (Title of Class and Securities)


                                   902966100
                   -----------------------------------------
                     (CUSIP Number of Class of Securities)


                              Richard D. Colburn
                            1581 Cummins, Suite 155
                               Modesto, CA 95358
                                (209) 544-9000

                                   Copy to:

                               Stephen E. Newton
                        Heller Ehrman White & McAuliffe
                      601 South Figueroa Street, 40th Fl.
                             Los Angeles, CA 90017
                                (213) 689-0200
                   -----------------------------------------
                      (Name, Address and Telephone Number
                        of Person Authorized to Receive
                          Notices and Communications)


                                June 15, 1998
                   -----------------------------------------
                         (Date of Event Which Requires
                           Filing of this Statement)


If the filing person has previously filed a statement on Schedule 13G to report 
the acquisition which is the subject of this Schedule 13D and is filing this 
schedule because of Rule 13D-1(b)(3) or (4), check the following box: [_]

*The remainder of this cover page shall be filled out for a reporting person's 
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter 
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of 
1934 ("Act") or otherwise subject to the liabilities of that section of the Act 
but shall be subject to all other provisions of the Act (however, see the 
Notes).

                                  Page 1 of 9


<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 902966100                   13D                PAGE 2 OF 9 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1               
      Richard D. Colburn

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP:
 2                                                              (a) [X]
                                                                (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
 

- ------------------------------------------------------------------------------
      SOURCE OF FUNDS
 4    
      AF

- ------------------------------------------------------------------------------
      CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO 
 5    ITEM 2(d) OR 2(e)                                                 
                                                                    [_]
                                                 
- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 6    
      U.S.
                                                 
- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     7   
     NUMBER OF            -0- shares of Common Stock
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      8
                          20,603,105 shares of Common Stock
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     9    
    REPORTING             -0- shares of Common Stock
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH         10 
                          20,603,105 shares of Common Stock
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
11   
      20,603,105 shares of Common Stock

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES
12                  
                                                                    [_]
   
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)
13    
      66.9%

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON
14
      IN

- ------------------------------------------------------------------------------
<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 902966100                   13D                PAGE 3 OF 9 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1               
      AYR, Inc. (formerly USR Holdings, Inc.)

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP:
 2                                                              (a) [X]
                                                                (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
 

- ------------------------------------------------------------------------------
      SOURCE OF FUNDS
 4    
      OO

- ------------------------------------------------------------------------------
      CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO 
 5    ITEM 2(d) OR 2(e)                                                 
                                                                    [_]
                                                 
- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 6    
      California
                                                 
- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     7   
     NUMBER OF            -0- shares of Common Stock
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      8
                          20,603,105 shares of Common Stock
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     9    
    REPORTING             -0- shares of Common Stock
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH         10 
                          20,603,105 shares of Common Stock
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
11   
      20,603,105 shares of Common Stock

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES
12                  
                                                                    [_]
   
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)
13    
      66.9%

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON
14
      CO

- ------------------------------------------------------------------------------
<PAGE>
 
 -----------------------                                  ---------------------
   CUSIP NO. 902966100                   13D                PAGE 4 OF 9 PAGES
 -----------------------                                  ---------------------
 


      This Statement is the First Amendment to the Statement on Schedule 13D 
filed on March 7, 1997 (the "Statement") with the Securities and Exchange 
Commission by Richard D. Colburn ("Colburn") and USR Holdings, Inc. (which 
subsequently changed its name to AYR, Inc. ("AYR")) in connection with their 
beneficial ownership of shares of Common Stock of U.S. Rentals, Inc. ("USR").  
All capitalized terms used and not defined in this Amendment No. 1 have the 
meanings given to them in the Statement, and all references in this Amendment 
No. 1 to AYR are to the corporation identified as USR Holdings, Inc. in the 
Statement.
 
<PAGE>
 
 -----------------------                                  ---------------------
   CUSIP NO. 902966100                   13D                PAGE 5 OF 9 PAGES
 -----------------------                                  ---------------------


 ITEM 4. PURPOSE OF TRANSACTION
         ----------------------

         The Shares of Common Stock reported herein were originally acquired for
investment purposes.  In view of changing factors in USR's markets, Colburn has 
decided that a business combination with a company of comparable size to USR 
engaged in the same or a similar business would be advantageous to his interests
and to USR.  To that end, USR and United Rentals, Inc. ("URI") have entered into
an Agreement and Plan of Merger dated June 15, 1998, pursuant to which a 
wholly-owned subsidiary of URI will merge with and into USR (the "Merger"), USR 
will be the surviving corporation and will become a wholly owned subsidiary of 
URI, and each share of Common Stock of USR outstanding before the Merger will be
converted into the right to receive 0.9625 of a share of Common Stock of URI.  
Colburn has agreed to vote his shares of USR Common Stock in favor of the 
Merger.  (See Item 6.)

 
<PAGE>
 
 -----------------------                                  ---------------------
   CUSIP NO. 902966100                   13D                PAGE 6 OF 9 PAGES
 -----------------------                                  ---------------------


ITEM 6. CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OF RELATIONSHIPS WITH RESPECT TO
        ------------------------------------------------------------------------
        SECURITIES OF ISSUER
        --------------------

        AYR and USR had previously entered into a Registration Rights Agreement
under which AYR (and certain permitted transferees) was entitled to certain
rights with respect to the registration of its shares of Common Stock under the
Securities Act. AYR and USR have entered into a letter agreement dated June 15,
1998 to terminate the Registration Rights Agreement as of the effective date of
the Merger.

        Under the terms of a Voting Agreement dated June 15, 1998 among Colburn,
AYR and URI, the Reporting Persons have agreed to vote in favor of the Merger, 
not to solicit or engage in discussions or negotiations which might lead to an 
acquisition proposal from a party other than URI and not to sell, transfer or 
otherwise dispose of any shares of USR other than certain transfers to 
charitable foundations that agree to be bound by the Voting Agreement.

        
 ITEM 7. MATERIAL TO BE FILED AS EXHIBITS
         --------------------------------

         1.  REGISTRATION RIGHTS AGREEMENT (incorporated by reference from USR
Registration Statement on Form S-1 (Registration No. 333-17783) -- agreement
was filed as Exhibit 10.3).

         2.  Voting Agreement dated June 15, 1998 among Colburn, AYR and URI.

         3.  Letter Agreement dated June 15, 1998 between AYR and USR.
 
 
               Remainder of this Page Intentionally Left Blank  
<PAGE>
 
 -----------------------                                  ---------------------
   CUSIP NO. 902966100                   13D                PAGE 7 OF 9 PAGES
 -----------------------                                  ---------------------


                                   SIGNATURE
                                   ---------

     After reasonable inquiry and to the best of each of the undersigned's
knowledge and belief, each of the undersigned certifies that the information set
forth in this statement is true, complete and correct.
 
Dated: June 17, 1998


                             
                                 /s/ Richard D. Colburn
                            ---------------------------
                                RICHARD D. COLBURN
 
                            AYR, INC.
 
                            By:  /s/ Richard D. Colburn
                                 ----------------------
                                 Richard D. Colburn
                                 Chairman of the Board

<PAGE>
 
 -----------------------                                  ---------------------
   CUSIP NO. 902966100                   13D                PAGE 8 OF 9 PAGES
 -----------------------                                  ---------------------


                                 EXHIBIT INDEX

<TABLE> 
<CAPTION> 
Exhibit No.      Description                                          Page
- --------------------------------------------------------------------------
<C>              <S>                                                  <C> 
1.               Registration Rights Agreement                         
                 Incorporated by Reference

2.               Voting Agreement dated June 15, 1998 among Colburn,
                 AYR and URI.

3.               Letter Agreement dated June 15, 1998 between AYR and
                 USR.
</TABLE> 

<PAGE>
 
                                                                       EXHIBIT 2

                               VOTING AGREEMENT
                               ----------------

     VOTING AGREEMENT, dated June 15, 1998 (this "Agreement"), by and among
United Rentals, Inc, a Delaware corporation ("URI"), AYR Inc., a California
corporation ("AYR"), and Richard D. Colburn, an individual who is the sole
shareholder of AYR (the "Shareholder").

                              W I T N E S S E T H:
                              ------------------- 

     WHEREAS, concurrently herewith, URI, a subsidiary of URI, and U.S. Rentals,
Inc., a Delaware corporation (the "Company"), are entering into an Agreement and
Plan of Merger (as such agreement may hereafter be amended from time to time,
the "Merger Agreement"; capitalized terms used and not defined herein have the
respective meanings ascribed to them in the Merger Agreement) pursuant to which
MERGER SUB will be merged with and into the Company, with the Company as the
surviving corporation and wholly-owned subsidiary of URI (the "Merger");

     WHEREAS, AYR owns, beneficially and of record, 20,603,105 shares (the
"Shares") of USR Common Stock and Shareholder owns, beneficially and of record,
all of the outstanding capital stock of AYR; and

     WHEREAS, as an inducement and a condition to entering into the Merger
Agreement, URI has required that each of Shareholder and AYR agree, and
Shareholder and AYR have agreed, to enter into this Agreement; and further
Shareholder has agreed to enter into this Agreement strictly in his capacity as
a beneficial owner, through AYR, of the Shares and not in his capacity as a
director of the Company.

     NOW, THEREFORE, in consideration of the foregoing and the mutual premises,
representations, warranties, covenants and agreements contained herein, and
intending to be legally bound hereby, the parties hereto hereby agree as
follows:

     1.   Provisions Concerning the Shares. (a) Each of AYR and Shareholder
          --------------------------------                                 
hereby agree that during the period commencing on the date hereof and continuing
until this provision terminates pursuant to Section 5 hereof, at any meeting of
the holders of shares of USR Common Stock, however called, or in connection with
any written consent of the holders of shares of USR Common Stock, each of AYR
and Shareholder shall vote, (or cause to be voted) the Shares held of record or
Beneficially Owned (as defined below) by Shareholder, whether heretofore owned
or hereafter acquired, in favor of the Merger and the adoption of the Merger
Agreement and any actions required in furtherance thereof and hereof.

          (b)  Neither AYR nor Shareholder shall enter into any agreement or
understanding with any Person (as defined below) the effect of which would be
inconsistent or violative of the provisions of this Agreement.

          (c)  For purposes of this Agreement:

                                       1
<PAGE>
 
          "Beneficially Own" or "Beneficial Ownership" with respect to any
securities shall mean having "beneficial ownership" of such securities (as
determined pursuant to Rule 13d-3 under the Securities Exchange Act of 1934, as
amended (the "Exchange Act")), including pursuant to any agreement, arrangement
or understanding, whether or not in writing; without duplicative counting of the
same securities by the same holder, securities Beneficially Owned by a Person
shall include securities Beneficially Owned by all other Persons with whom such
Person would constitute a "group" within the meaning of Section 13(d)(3) of the
Exchange Act;

          "Person" shall mean an individual, corporation, partnership, limited
liability company, joint venture, association, trust, unincorporated
organization or other entity.

          (d) In the event of a stock dividend or distribution, or any change in
the USR Common Stock by reason of any stock dividend, stock split,
recapitalization, reclassification, combination, exchange of shares, merger or
the like, the term "Shares" as used in this Agreement shall be deemed to refer
to and include the Shares as well as all such stock dividends and distributions
and any shares or other securities into which or for which any or all of the
Shares may be converted, changed or exchanged.

     2.   Representations and Warranties.  Each of Shareholder and AYR hereby
          ------------------------------                                     
represents and warrants to URI as follows:

          (a) Ownership of Shares.  Shareholder is the record and Beneficial
              -------------------                                           
Owner of all of the shares of AYR and AYR is the record and beneficial owner of
all of the Shares.  On the date hereof, the Shares constitute all of the shares
of USR Common Stock owned of record or Beneficially Owned by AYR or Shareholder.
Shareholder and AYR have shared voting power and shared power to issue
instructions with respect to the matters set forth in Section 1 hereof, shared
power of disposition and shared power to agree to all of the matters set forth
in this Agreement, in each case with respect to all of the Shares, with no
limitations, qualifications or restrictions on such rights (subject to
applicable securities laws).

          (b) Power; Binding Agreement.  Shareholder has the legal capacity,
              ------------------------                                      
power and authority, and AYR has the corporate power and authority, to enter
into and perform all of their respective obligations under this Agreement.  This
Agreement has been duly and validly authorized, executed and delivered by each
of Shareholder and AYR and constitutes a valid and binding agreement of each of
Shareholder and AYR, enforceable against each of Shareholder and AYR in
accordance with its terms.  There is no beneficiary or holder of a voting trust
certificate or other interest of any trust of which AYR or Shareholder is
settlor or trustee whose consent is required for the execution and delivery of
this Agreement or the consummation by AYR or Shareholder of the transactions
contemplated hereby.

          (c) Organization.  AYR (i) is a corporation duly organized, validly
              ------------                                                   
existing and in good standing under the laws of the State of California and (ii)
has all

                                       2
<PAGE>
 
requisite corporate power and authority to own its properties and assets and to
carry on its business as it is now being conducted.

          (d) No Conflicts.  (i) Except for filings under the HSR Act, the
              ------------                                                
Securities Act and Exchange Act, no filing with, and no permit, authorization,
consent or approval of, any state or federal public body or authority is
necessary for the execution of this Agreement by Shareholder and the
consummation by Shareholder of the transactions contemplated hereby and (ii)
none of the execution and delivery of this Agreement by Shareholder, the
consummation by Shareholder of the transactions contemplated hereby or
compliance by Shareholder with any of the provisions hereof will (A) result in a
violation or breach of, or constitute (with or without notice or lapse of time
or both) a default (or give rise to any third party right of termination,
cancellation, material modification or acceleration) under any of the terms,
conditions or provisions of any declaration of trust, note, bond, mortgage,
indenture, security or pledge agreement, voting agreement, shareholders'
agreement or voting trust, license, contract, commitment, arrangement,
understanding, agreement or other instrument or obligation of any kind to which
Shareholder is a party or by which Shareholder or any of Shareholder's
properties or assets may be bound, or (B) violate any order, writ, injunction,
decree, judgment, order, statute, rule or regulation applicable to Shareholder
or any of Shareholder's properties or assets.

          (e) Reliance by URI.  Shareholder and AYR understand and acknowledge
              ---------------                                                 
that URI is entering into the Merger Agreement in reliance upon execution and
delivery of this Agreement by Shareholder and AYR.

          (f) Sophistication.  Shareholder acknowledges that Shareholder is an
              --------------                                                  
informed and sophisticated investor and, together with Shareholder's advisors,
has undertaken such investigation as they have deemed necessary, including the
review of the Merger Agreement and this Agreement, to enable Shareholder to make
an informed and intelligent decision with respect to the Merger Agreement and
this Agreement and the transactions contemplated thereby and hereby.

          (g) No Broker.  Except for fees payable by the Company and disclosed
              ---------                                                       
pursuant to Section 2.16 of the Merger Agreement, no broker, investment banker,
financial adviser or other Person is entitled to any commission, broker's fee,
finder's fee, adviser's fee or similar fee in connection with the transactions
contemplated by this Agreement based upon arrangements made by or on behalf of
Shareholder or AYR.

     3.   No Solicitation.  (a) From and after the date hereof and continuing
          ---------------                                                    
until this provision terminates pursuant to Section 5 hereof, neither AYR nor
Shareholder shall directly or indirectly, initiate, solicit or encourage
(including by way of furnishing non-public information or assistance), or take
any other action to facilitate, any inquiries or the making of any proposal that
constitutes, or may reasonably be expected to lead to, any Acquisition Proposal
with respect to the Company or enter into or maintain or continue discussions or
negotiate with any Person in furtherance of such inquiries or to obtain such an
Acquisition Proposal or agree to or endorse any such Acquisition Proposal, and
Shareholder shall promptly notify URI orally (in all events within 24 hours) and
in writing (as promptly thereafter as practicable) of the material terms and

                                       3
<PAGE>
 
status of all inquiries and proposals which Shareholder or any agent of
Shareholder may receive after the date hereof relating to any of such matters
and, if such inquiry or proposal is in writing, Shareholder shall deliver to URI
a copy of such inquiry or proposal promptly; provided, however, that,
                                             --------  -------       
notwithstanding any other provision of this Agreement, Shareholder, as a member
of the board of directors of the Company, may take any action in his capacity as
a director that the board of directors of the Company would be permitted to take
in accordance with Sections 5.7 and 7.1 of the Merger Agreement.  Shareholder
will immediately cease and cause to be terminated any existing activities,
discussions or negotiations, with any parties conducted heretofore with respect
to any of the foregoing.

          (b) URI acknowledges that this Agreement is entered into by the
Shareholder in his capacity as a beneficial owner, through AYR, of the Shares,
and that nothing in this Agreement shall in any way restrict or limit the
Shareholder from taking any action in his capacity as a director or officer of
USR or otherwise fulfilling his fiduciary obligations as a director or officer
of USR, notwithstanding that any such action would be inconsistent with or
violative of his obligations under this Agreement if taken in his capacity as a
beneficial owner, through AYR, of the Shares.

     4.   Restriction on Transfer; Proxies; Non-Interference; Stop Transfers;
          -------------------------------------------------------------------
etc.
- --- 

          (a) Neither AYR nor Shareholder shall directly or indirectly, during
the period commencing on the date hereof and continuing until this provision
terminates pursuant to Section 5 hereof: (i) except as contemplated by the
Merger Agreement or for transfers to charitable foundations before June 30,
1998, provided the transferee of the transferred shares takes such shares
subject to the provisions of this Agreement, offer for sale, sell, transfer,
tender, pledge, encumber, assign or otherwise dispose of, or grant or enter into
any contract, option or other arrangement or understanding with respect to or
consent to the offer for sale, sale, transfer, tender, pledge, encumbrance,
assignment or other disposition of, any or all of the Shares or any interest
therein (including any interest in AYR); (ii) except as contemplated by this
Agreement, grant any proxies or powers of attorney, deposit any Shares into a
voting trust or enter into a voting agreement with respect to any Shares; or
(iii) take any action that would make any of AYR's or Shareholder's
representations or warranties contained herein untrue or incorrect or have the
effect of preventing or disabling AYR or Shareholder from performing their
respective obligations under this Agreement; provided that the foregoing shall
not prevent AYR or Shareholder from pledging any of the Shares to a bank or
other financial institution or to prevent such bank or financial institution
from selling the Shares on foreclosure so long as AYR or Shareholder retain the
right to vote such Shares if the pledge has not been foreclosed upon.

          (b) AYR agrees with, and covenants to, URI that AYR shall not, during
the period set forth in Section 4(a), request that the Company register the
transfer (book-entry or otherwise) of any certificate or uncertificated interest
representing the Shares, unless such transfer is made in compliance with this
Agreement.  AYR shall promptly after the date hereof surrender to the Company
all certificates representing the Shares for purpose of placing the following
legend on such certificates:

                                       4
<PAGE>
 
          THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO
     RESTRICTIONS ON TRANSFER AND VOTING AND PURSUANT TO AN AGREEMENT BETWEEN
     THE HOLDER OF THIS CERTIFICATE AND URI, A COPY OF WHICH MAY BE OBTAINED
     FROM THE HOLDER HEREOF OR THE ISSUER OF THIS SECURITY.

The foregoing legend shall be removed from all certificates representing the
shares upon termination of the period set forth in Section 4(a).

     5.   Termination.  Except as otherwise provided herein, the covenants and
          -----------                                                         
agreements contained in Sections 1, 3 and 4 hereof shall terminate (i) in the
event the Merger Agreement is terminated in accordance with the terms thereof,
upon such termination, and (ii) in the event the Merger is consummated, upon the
Effective Time.  Notwithstanding anything to the contrary herein, (A) the
provisions of Section 7 hereof shall survive any termination of this Agreement,
and (B) no termination of this Agreement shall relieve any party of liability
for a breach hereof prior to termination.

     6.   Further Assurances.  From time to time, at the other party's request
          ------------------                                                  
and without further consideration, AYR, Shareholder and URI shall execute and
deliver such additional documents and take all such further lawful action as may
be necessary or desirable to consummate and make effective, in the most
expeditious manner practicable, the transactions contemplated by this Agreement.

     7.   Miscellaneous.
          ------------- 

          (a) Entire Agreement.  This Agreement and the Merger Agreement
              ----------------                                          
constitute the entire agreement between the parties with respect to the subject
matter hereof and supersede all other prior agreements and understandings, both
written and oral, between the parties with respect to the subject matter hereof.

          (b) Certain Events.  Each of AYR and Shareholder agree that this
              --------------                                              
Agreement and the obligations hereunder shall attach to the Shares and shall be
binding upon any person or entity to which legal or beneficial ownership of such
Shares shall pass, whether by operation of law or otherwise, including, without
limitation, Shareholder's heirs, executors, guardians, administrators, trustees
or successors.  Notwithstanding any transfer of Shares, the transferor shall
remain liable for the performance of all obligations under this Agreement of the
transferor.

          (c) Assignment.  This Agreement shall not be assigned by any party
              ----------                                                    
hereto, by operation of law or otherwise, without the prior written consent of
the other party, and any purported assignment without such consent shall be null
and void; provided, however, that URI may assign, in its sole discretion, its
rights and obligations hereunder to any direct or indirect wholly owned
subsidiary of URI without the consent of AYR or Shareholder.

                                       5
<PAGE>
 
          (d) Amendments, Waivers, Etc.  This Agreement may not be amended,
              ------------------------                                     
changed, supplemented, waived or otherwise modified or terminated except upon
the execution and delivery of a written agreement executed by each of the
parties hereto.

          (e) Notices.  All notices, requests, claims, demands and other
              -------                                                   
communications hereunder shall be in writing and shall be given (and shall be
deemed to have been duly received if so given) by hand delivery, telegram, telex
or telecopy, or by mail (registered or certified mail, postage prepaid, return
receipt requested) or by any courier service, such as Federal Express, providing
proof of delivery.  All communications hereunder shall be delivered to the
respective parties at the following addresses:  (i) if to URI, to its address
set forth in the Merger Agreement; and (ii) if to AYR or Shareholder, to: 1581
Cummins Dr. - Ste. 155, Modesta, CA  95358, with a copy to: Stephen E. Newton,
Heller Ehrman White & McAuliffe, 601 South Figueroa Street, Los Angeles,
California  90017; or, in each case, to such other address as the Person to whom
notice is given may have previously furnished to the others in writing in the
manner set forth above.

          (f) Severability.  Whenever possible, each provision or portion of any
              ------------                                                      
provision of this Agreement will be interpreted in such manner as to be
effective and valid under applicable law, but if any provision or portion of any
provision of this Agreement is held to be invalid, illegal or unenforceable in
any respect under any applicable law or rule in any jurisdiction, such
invalidity, illegality or unenforceability will not affect any other provision
or portion of any provision in such jurisdiction, and this Agreement will be
reformed, construed and enforced in such jurisdiction as if such invalid,
illegal or unenforceable provision or portion of any provision had never been
contained herein.

          (g) Specific Performance.  All of the parties hereto recognizes and
              --------------------                                           
acknowledges that a breach by it of any covenants or agreements contained in
this Agreement will cause the other party to sustain damages for which it would
not have an adequate remedy at law for money damages, and therefore each of the
parties hereto agrees that in the event of any such breach the aggrieved party
shall be entitled to the remedy of specific performance of such covenants and
agreements and injunctive and other equitable relief in addition to any other
remedy to which it may be entitled, at law or in equity.

          (h) Remedies Cumulative.  All rights, powers and remedies provided
              -------------------                                           
under this Agreement or otherwise available in respect hereof at law or in
equity shall be cumulative and not alternative, and the exercise of any thereof
by any party shall not preclude the simultaneous or later exercise of any other
such right, power or remedy by such party.

          (i) No Waiver.  The failure of any party hereto to exercise any right,
              ---------                                                         
power or remedy provided under this Agreement or otherwise available in respect
hereof at law or in equity, or to insist upon compliance by any other party
hereto with its obligations hereunder, and any custom or practice of the parties
at variance with the

                                       6
<PAGE>
 
terms hereof, shall not constitute a waiver by such party of its right to
exercise any such or other right, power or remedy or to demand such compliance.

          (j) No Third Party Beneficiaries.  This Agreement is not intended to
              ----------------------------                                    
be for the benefit of, and shall not be enforceable by, any person or entity who
or which is not a party hereto.

          (k) Governing Law.  This Agreement shall be governed and construed in
              -------------                                                    
accordance with the laws of the State of Delaware, without giving effect to the
principles of conflicts of law thereof.

          (l) Jurisdiction; Waiver of Jury Trial.  All of the parties hereto
              ----------------------------------                            
irrevocably agrees that any legal action or proceeding with respect to this
Agreement or for recognition and enforcement of any judgment in respect hereof
brought by any other party hereto or its successors or assigns shall be brought
and determined in any federal court located in the State of Delaware or the
Chancery or other courts of the State of Delaware, and each of the parties
hereto irrevocably submits with regard to any such action or proceeding for
itself and in respect to its property, generally and unconditionally, to the
exclusive jurisdiction of the aforesaid courts.  Each of the parties hereto
irrevocably waives, and agrees not to assert, by way of motion, as a defense,
counterclaim or otherwise, in any action or proceeding with respect to this
Agreement, (a) any claim that it is not personally subject to the jurisdiction
of the above-named courts for any reason, (b) that it or its property is exempt
or immune from jurisdiction of any such court or from any legal process
commenced in such courts (whether through service of notice, attachment before
judgment, attachment in aid of execution of judgment, execution of judgment or
otherwise), and (c) to the fullest extent permitted by applicable law, that (i)
the suit, action or proceeding in any such court is brought in an inconvenient
forum, (ii) the venue of such suit, action or proceeding is improper or (iii)
this Agreement, or the subject matter hereof, may not be enforced in or by such
court.

          (m) Descriptive Headings.  The descriptive headings used herein are
              --------------------                                           
inserted for convenience of reference only and are not intended to be part of or
to affect the meaning or interpretation of this Agreement.

          (n) Counterparts.  This Agreement may be executed in counterparts,
              ------------                                                  
each of which shall be deemed to be an original, but all of which, taken
together, shall constitute one and the same Agreement.

          (o) No Present Intent to Liquidate or Merge.  URI has no current plan
              ---------------------------------------                          
or intention to liquidate USR; to merge USR with or into another corporation; to
sell, distribute or otherwise dispose of USR Common Stock acquired in the Merger
except for transfers or successive transfers of USR Common Stock to one or more
corporations controlled (within the meaning of Section 368(c) of the Code) in
each case by the transferor corporation; or to cause USR to sell or otherwise
dispose of any of its assets or any of the assets acquired from MERGER SUB,
except for dispositions made in the

                                       7
<PAGE>
 
ordinary course of business or transfers or successive transfers of assets to
one or more corporations controlled (within the meaning of Section 368(c) of the
Code) in each case by the transferor corporation.

                            [signature page follows]

                                       8
<PAGE>
 
  IN WITNESS WHEREOF, URI, Shareholder and AYR have executed and delivered this
Agreement as of the day and year first above written.

                                    UNITED RENTALS, INC.


                                    By:_________________________
                                       Name:
                                       Title:


                                       _________________________
                                           Richard D. Colburn


                                    AYR INC.


                                    By: ________________________
                                        Name:
                                        Title:

                                       9

<PAGE>
 
                                                                       EXHIBIT 3

                                 June 15, 1998



          Reference is made to the Agreement and Plan of Merger dated as of the
date hereof among United Rentals, Inc., a Delaware Corporation (the "Company"),
UR Acquisition Corporation, a Delaware corporation and wholly-owned subsidiary
of the Company ("Merger Sub"), and U.S. Rentals, Inc., a Delaware corporation
("USR") (the "Merger Agreement").

          AYR, Inc., a California Corporation ("AYR"), USR and the Company
hereby agree that the Registration Rights Agreement dated as of February 20,
1997 between USR and AYR shall be terminated effective at the Effective Time (as
defined in the Merger Agreement) and all rights and liabilities thereunder or
related thereto shall be replaced and superseded by the Registration Rights
Agreement, attached as Exhibit F to the Merger Agreement between the Company and
the Holders (as defined in such Agreement) dated as of the Closing Date.

          This letter agreement cannot be amended, waived or terminated by one
party without the prior written consent of the other parties hereto.

                              Sincerely,

                              AYR, INC.


                              By: _________________________
                                  Name:
                                  Title:

                              U.S. RENTALS, INC.


                              By: _________________________
                                  Name:
                                  Title:

                              UNITED RENTALS, INC.


                              By: __________________________
                                  Name:
                                  Title:


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