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Arithmetic Ability
Problems on Trains

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Q.

A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform ?

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Correct choice: B

Explanation:

Speed of train 1 = 48 kmph Let the length of train 1 = 2x meter Speed of train 2 = 42 kmph Length of train 2 = x meter (because it is half of train 1's length) Distance = 2x + x = 3x Relative speed= 48+42 = 90 kmph = (90*5/18) m/s = 25 m/s Time = 12 s Distance/time = speed =>3x/12 = 25 (25*12)/3 Length of the first train = 2x = 200 meter Time taken to cross the platform= 45 s Speed of train 1 = 48 kmph = 480/36 = 40/3 m/s Distance = 200 + y [where y is the length of the platform] x =100m => 200+y = 45* 40/3 y = 400m
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