TOT 100 1985 Autumn J4 , 2 chessplayer, 40th move, 2h 30 min, time
Source:
August 26, 2019
combinatoricstime
Problem Statement
Two chess players play each other at chess using clocks (when a player makes a move , the player stops his clock and starts the clock of his opponent) . It is known that when both players have just completed their th move , both of their clocks read exactly hr min . Prove that there was a moment in the game when the clock of one player registered min sec less than that of the other . Furthermore , can one assert that the difference between the
two clock readings was ever equal to minutes?(S . Fomin , Leningrad)