Races Question Answers

Races - Quant/Math - CAT 2008

Question 4 the day: June 18, 2002

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

A takes 3 min 45 seconds to complete a kilometre. B takes 4 minutes to complete the same 1 km track. If A and B were to participate in a race of 2 kms, how much start can A give B in terms of distance?

(1)

30 m

(2)

62.5 m

(3)

125 m

(4)

250 m

Correct Answer - (3)

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Solution:

A can give B a start of 15 seconds in a km race.
B takes 4 minutes to run a km. i.e  1000/4= 250 m/min = 250/60 m/sec
Therefore, B will cover a distance of 250/60 * 15 = 62.5 meters in 15 seconds.
The start that A can give B in a km race therefore, is 62.5 meters, the distance that B run in 15 seconds. Hence in a 2 km race, A can give B a start of 62.5 * 2 = 125 m or 30 seconds.