Document:

<PAGE>

                                                                   Exhibit 10.24

                                                                  EXECUTION COPY

                                LETTER AMENDMENT

                                            Dated as of January 7, 2002

To the banks, financial institutions
   and other institutional lenders
   (collectively, the "Banks") parties
                       -----
   to the Loan Agreement referred to
   below and to Citibank, N.A., as administrative agent
   (the "Agent") for the Banks
         -----

Ladies and Gentlemen:

          We refer to the Amended and Restated Senior Revolving Loan Agreement
dated as of September 21, 2001 (the "Loan Agreement") among the undersigned and
                                     --------------
you. Capitalized terms not otherwise defined in this Letter Amendment have the
same meanings as specified in the Loan Agreement.

          It is hereby agreed by you and us as follows:

          You have indicated your willingness, on the terms and conditions
stated below, to so agree. Accordingly, it is hereby agreed by you and us as
follows:

          The Loan Agreement is, effective as of the date of this Letter
Amendment, hereby amended as follows:

          (a) The definition of "Significant Subsidiary Guaranty" in Section 1.1
     is amended by deleting therefrom the words "executed by each Significant
     Subsidiary".

          (b) Section 7.2.1 of the Loan Agreement is amended by adding to the
     end thereof immediately before the period the words "and (vi) additional
     unsecured Indebtedness for Borrowed Money of any Subsidiary permitted in
     accordance with Section 7.2.9 hereof".

          (c) Section 7.2.9 of the Loan Agreement is amended by adding to the
     end thereof a new clause (i) to read as follows:

               "(i) Guarantees by any Subsidiary of any obligation of the
          Borrower provided that such Subsidiary has duly executed and delivered
          a Significant Subsidiary Guaranty."

          This Letter Amendment shall become effective as of the date first
above written when, and only when, on or before January 15, 2002, the Agent
shall have received counterparts of this Letter Amendment executed by the
undersigned and the Required Bank or, as to any of
<PAGE>

                                        2

the Banks, advice satisfactory to the Agent that such Bank has executed this
Letter Amendment, and the consent attached hereto executed by each Guarantor.
This Letter Amendment is subject to the provisions of Section 10.1 of the Loan
Agreement.

          On and after the effectiveness of this Letter Amendment, each
reference in the Loan Agreement to "this Agreement", "hereunder", "hereof" or
words of like import referring to the Loan Agreement, and each reference in the
Notes and each of the other Loan Documents to "the Loan Agreement",
"thereunder", "thereof" or words of like import referring to the Loan Agreement,
shall mean and be a reference to the Loan Agreement, as amended by this Letter
Amendment.

          The Loan Agreement, the Notes and each of the other Loan Documents, as
specifically amended by this Letter Amendment, are and shall continue to be in
full force and effect and are hereby in all respects ratified and confirmed. The
execution, delivery and effectiveness of this Letter Amendment shall not, except
as expressly provided herein, operate as a waiver of any right, power or remedy
of any Bank or the Agent under any of the Loan Documents, nor constitute a
waiver of any provision of any of the Loan Documents.

          If you agree to the terms and provisions hereof, please evidence such
agreement by executing and returning at least two counterparts of this Letter
Amendment to Susan L. Hobart, Shearman & Sterling, 599 Lexington Avenue, New
York, New York 10022.

          This Letter Amendment may be executed in any number of counterparts
and by different parties hereto in separate counterparts, each of which when so
executed shall be deemed to be an original and all of which taken together shall
constitute one and the same agreement. Delivery of an executed counterpart of a
signature page to this Letter Amendment by telecopier shall be effective as
delivery of a manually executed counterpart of this Letter Amendment.

          This Letter Amendment shall be governed by, and construed in
accordance with, the laws of the State of New York.

                                            Very truly yours,

                                            CONSOL ENERGY INC.

                                            By
                                                --------------------------------
                                                Title:

Agreed as of the date first above written:

CITIBANK, N.A.,
     as Agent and as Bank

By
   ---------------------------------------
   Title:
<PAGE>

                                        3

THE BANK OF NOVA SCOTIA

By
  ------------------------------------------
   Title:

DRESDNER BANK, AG, NEW YORK AND GRAND CAYMAN BRANCHES

By
  ------------------------------------------
   Title:

By
  ------------------------------------------
   Title:

MELLON BANK, N.A.

By
  ------------------------------------------
   Title:

AUSTRALIA AND NEW ZEALAND BANKING GROUP LIMITED

By
  ------------------------------------------
   Title:

PNC BANK, N.A.

By
  ------------------------------------------
   Title:

NATIONAL CITY BANK

By
  ------------------------------------------
   Title:
<PAGE>

                                     CONSENT

                                                     Dated as of January 7, 2002

          The undersigned, each a Significant Subsidiary and a party to the
Significant Subsidiary Guaranty dated October 2, 2001 (the "Guaranty") in favor
                                                            --------
of the Agent, for its benefit and the benefit of the Banks parties to the Loan
Agreement referred to in the foregoing Letter Amendment, hereby consents to such
Letter Amendment and hereby confirms and agrees that notwithstanding the
effectiveness of such Letter Amendment, the Guaranty is, and shall continue to
be, in full force and effect and is hereby ratified and confirmed in all
respects, except that, on and after the effectiveness of such Letter Amendment,
each reference in the Guaranty to the "Loan Agreement", "thereunder", "thereof"
or words of like import shall mean and be a reference to the Loan Agreement, as
amended by such Letter Amendment.

                                            CONSOLIDATION COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            CONRHEIN COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            CONSOL FINANCIAL INC.

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            CONSOL OF KENTUCKY INC.

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            CONSOL PENNSYLVANIA COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer
<PAGE>

                                            EIGHTY-FOUR MINING COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            FAIRMONT SUPPLY COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Controller

                                            GREENON COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            ISLAND CREEK COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            IC COAL INC.

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            McELROY COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer

                                            NINEVEH COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer
<PAGE>

                                            ROCHESTER & PITTSBURGH COAL COMPANY

                                            By
                                               ---------------------------------
                                               Title:  Treasurer<PAGE>

                                                                   Exhibit 10.25

                                                                  EXECUTION COPY

                                  LETTER WAIVER

                                           Dated as of February 8, 2002

To the banks, financial institutions
   and other institutional lenders
   (collectively, the "Banks")
                       -----
   parties to the Loan Agreement
   referred to below and to Citibank, N.A.,
   as agent (the "Agent") for the Banks
                  -----

Ladies and Gentlemen:

          We refer to the Amended and Restated Senior Revolving Loan Agreement
dated as of September 21, 2001, as amended by the Letter Amendment dated as of
January 7, 2002 (the "Loan Agreement") among the undersigned and you.
                      --------------
Capitalized terms not otherwise defined in this Letter Waiver have the same
meanings as specified in the Loan Agreement.

          We hereby request that you waive, solely through January 10, 2003 (the
"Waiver Termination Date"), solely with respect to Pocahontas Gas Partnership,
 -----------------------
the requirements of Section 7.1.9 of the Loan Agreement. On the Waiver
Termination Date, without any further action by the Agent and the Banks, all of
the terms and provisions set forth in the Loan Documents with respect to
Defaults thereunder that are waived hereunder and not cured prior to the Waiver
Termination Date shall have the same force and effect as if this Letter Waiver
had not been entered into by the parties hereto, and the Agent and the Banks
shall have all of the rights and remedies afforded to them under the Loan
Documents with respect to any such Defaults as though no waiver had been granted
by them hereunder.

          This Letter Waiver shall become effective as of the date first above
written when, and only when, the Agent shall have received counterparts of this
Letter Waiver executed by us and the Required Banks or, as to any of the Banks,
advice satisfactory to the Agent that such Bank has executed this Letter Waiver,
and the consent attached hereto executed by each Guarantor. This Letter Waiver
is subject to the provisions of Section 10.1 of the Loan Agreement.

          The Loan Agreement, the Notes and each of the other Loan Documents,
except to the extent of the waiver specifically provided above and as amended
hereby, are and shall continue to be in full force and effect and are hereby in
all respects ratified and confirmed. The execution, delivery and effectiveness
of this Letter Waiver shall not, except as expressly provided herein, operate as
a waiver of any right, power or remedy of any Bank or the Agent under any of the
Loan Documents, nor constitute a waiver of any provision of any of the Loan
Documents.
<PAGE>

                                       2

          If you agree to the terms and provisions of this Letter Waiver, please
evidence such agreement by executing and returning at least two counterparts of
this Letter Waiver to Susan L. Hobart, Shearman & Sterling, 599 Lexington
Avenue, New York, New York 10022.

          This Letter Waiver may be executed in any number of counterparts and
by different parties hereto in separate counterparts, each of which when so
executed shall be deemed to be an original and all of which taken together shall
constitute one and the same agreement. Delivery of an executed counterpart of a
signature page to this Letter Waiver by telecopier shall be effective as
delivery of a manually executed counterpart of this Letter Waiver.

          This Letter Waiver shall be governed by, and construed in accordance
with, the laws of the State of New York.

                                           Very truly yours,

                                           CONSOL ENERGY INC.

                                           By
                                               ---------------------------------
                                               Title:

Agreed as of the date first above written:

CITIBANK, N.A.,
         as Agent and as Bank

By
  ----------------------------------------
    Title:

THE BANK OF NOVA SCOTIA

By
  ----------------------------------------
    Title:

DRESDNER BANK, AG, NEW YORK AND GRAND CAYMAN BRANCHES

By
  ----------------------------------------
    Title:

By
  ----------------------------------------
    Title:

MELLON BANK, N.A.

By
  ----------------------------------------
<PAGE>

                                       3

    Title:

AUSTRALIA AND NEW ZEALAND BANKING GROUP LIMITED

By
  ----------------------------------------
    Title:

PNC BANK, N.A.

By
  ----------------------------------------
    Title:

NATIONAL CITY BANK

By
  ----------------------------------------
    Title:
<PAGE>

                                     CONSENT

                                                  Dated as of February    , 2002
                                                                      ----

          The undersigned, each a Significant Subsidiary and a party to the
Significant Subsidiary Guaranty dated October 2, 2001 (the "Guaranty") in favor
                                                            --------
of the Agent, for its benefit and the benefit of the Banks parties to the Loan
Agreement referred to in the foregoing Letter Waiver, hereby consents to such
Letter Waiver and hereby confirms and agrees that notwithstanding the
effectiveness of such Letter Waiver, the Guaranty is, and shall continue to be,
in full force and effect and is hereby ratified and confirmed in all respects.

                                          CONSOLIDATION COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          CONRHEIN COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          CONSOL FINANCIAL INC.

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          CONSOL OF KENTUCKY INC.

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          CONSOL PENNSYLVANIA COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          EIGHTY-FOUR MINING COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer
<PAGE>

                                          FAIRMONT SUPPLY COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Attorney-in-Fact

                                          ISLAND CREEK COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          IC COAL INC.

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          McELROY COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

                                          ROCHESTER & PITTSBURGH COAL COMPANY

                                          By
                                             -----------------------------------
                                             Title:  Treasurer

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