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Races February 05, 2004
A runs 25% faster than B and is able to give him a start of 7 meters to end a race in dead heat. What is the length of the race?
| (A) | 10 meters | | (B) | 25 meters | | (C) | 45 meters | | (D) | 15 meters | | (E) | 35 meters |
Correct Answer (E) Choice (35 meters)
Solution: A runs 25% as fast as B. That is, if B runs 100m in a given time, then A will run 125m in the same time In other words, if A runs 5m in a given time, then B will run 4m in the same time.
Therefore, if the length of a race is 5m, then A can give B a start of 1m so that they finish the race in a dead heat.
Start : length of race :: 1 : 5
In this question, we know that the start is 7m. Hence, the length of the race will be 7 * 5 = 35m.
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