Races - Quant/Math - CAT 2013
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)
Solution:
A can give B a start of 15 seconds in a km race.
B takes 4 minutes to run a km. i.e  = 250 m/min =  m/sec
Therefore, B will cover a distance of  = 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.
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