Tom can beat Dick by one-tenth of a mile in a five-mile race. Dick can beat Harry by one-fifth of a mile in a five-mile race. By how much can Tom beat Harry in a five-mile race?
Tom runs 5 miles in the time it takes Dick to run 4.9 miles. This is a rate of 98% or .98.
Dick runs 5 miles in the time it takes Harry to run 4.8 miles. This is a rate of 96% or .96.
So the rate of Harry to Dick is (0.98)(0.96)5 so Harry was 4.704 miles along when Tom finished.
So Tom beat Harry by 0.296 miles.
1 comment:
I got the same answer calculating the velocity of each runner V=D/T
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