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 Question 4 the day - Races

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GMAT Test Syllabus

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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