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Races - February 05, 2004
The GMAT Sample Math question for the day is from the topic Races.
Question
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
The correct choice is (E) and the correct answer is 35 meters.
Explanatory Answer
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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