One way to compare chess-playing programs is to compare how they perform with fixed time limits per move  Given any two computers with which a chess-playing program is compatible, and given fixed time limits per move, such a program will have a better chance of winning on the faster computer
This is simply because the program will be able to examine more possible moves in the time allotted per move
How fast a given computer is has no effect on which chess-playing computer programs can run on that computer.