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A runs 25% faster than B and is able to allow B a lead of 7 m in a race and still finish in a dead heat. What is the length of the race?

1. 10 m
2. 25 m
3. 45 m
4. 35 m

Correct answer: 35 m

Solution

If A is 25% faster than B, their speed ratio is 5:4. In the time A covers the full race, B covers 4/5 of it, so the lead of 7 m equals 1/5 of the race length. Therefore, the race length is 35 m.

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