Races Question Answers

Races - Quant/Math - CAT 2008

Question 4 the day:May 22, 2003

The question for the day is from the topic of Races.

A runs 13/5 times as fast as B. If A gives a start of 240m, how far must the post be so that A and B might reach at the same time.

(1)	390 m			(2)	330 m
(3)	600 m			(4)	720 m

Correct Answer - (1)

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Solution:


A runs 13/5 times fast as B which means A runs 13 metres for every 5 meters of B.

Therefore, A gains 8 metre in a 11m race or if A gives a start of 8m in a 13m race then the race might end in a dead heat.

Therefore, if A gives a start of 240m (8* 30) then the length of the race should be equal to 13*30 = 390m

Or the length of the race after A gives a start of 240 start so that A and B reach at the same time is given by (240*13) /8 = 390m.