100 Meter Race

Two boys, Tom and Harry, are running a 100 meter race. The first time they race Tom beats Harry by 5 meters. To make things fair, the next time they race Tom stands 5 meters behind the starting line.

Who wins the second race (assuming they run at the same speed as the first race)?

Answer

Tom wins again. In the first race Tom ran 100 meters in the time it took Harry to run 95 meters. So in the second race when Harry is at the 95 meter mark Tom will also be there (since 100 – 5 = 95). Since Tom is faster he will pass Harry in the last 5 meters of the race.

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