<PAGE>   1
                                                                      EXHIBIT 24


                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.
                                        
March 21, 1996                            /s/ Raymond A. Ross
                                        ----------------------------------------
<PAGE>   2
                                                                Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.
                                        
March 21, 1996                            /s/ C. Frederick Fetterolf
                                        ----------------------------------------
<PAGE>   3
                                                                     Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ Laurel Cutler
                                        ----------------------------------------
<PAGE>   4
                                                                     Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ Thomas A. Gardner
                                        ----------------------------------------
<PAGE>   5
                                                                     Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 26, 1996                                   /s/ Delbert J. McQuaide
                                        ----------------------------------------
<PAGE>   6
                                                                      Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ Leonard M. Carroll
                                        ----------------------------------------
<PAGE>   7
                                                                      Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ L. David Myatt
                                        ----------------------------------------
<PAGE>   8
                                                                      Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.
                                          
March 21, 1996                            /s/ F. William Grube
                                        ----------------------------------------
<PAGE>   9
                                                                      Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ Forrest R. Haselton
                                        ----------------------------------------
<PAGE>   10
                                                                      Exhibit 24

                               POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that the undersigned constitutes and
appoints Herbert M. Baum, Conrad A.  Conrad, and Paul E. Konney, and each of
them, the undersigned's true and lawful attorneys-in-fact and agents, with full
power of substitution and resubstitution, for the undersigned and in the
undersigned's name, place and stead, in any and all capacities, to sign the
Annual Report on Form 10-K for the fiscal year ended December 31, 1995, of
Quaker State Corporation and any and all amendments thereto, and to file the
same with all exhibits thereto, and other documents in connection therewith,
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done, as
fully to all intents and purposes as the undersigned might or could do in
person and hereby ratifying and confirming all that said attorneys-in-fact and
agents or any of them or their or his substitutes may lawfully do or cause to
be done by virtue hereof.

March 21, 1996                            /s/ Lorne R. Waxlax
                                        ----------------------------------------