A train running at 108kmph takes 10 seconds to pass the platform Again it takes 6 seconds to pass a ...........

Quantitative Aptitude (CDS) Problems on trains

A train running at 108kmph takes 10 seconds to pass the platform. Again it takes 6 seconds to pass a woman walking at 3kmph in the same direction in which the train is going. What is the length of the platform?

80m

90m

75m

85m

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Explanation:

Let the length of the train be x meters and the length of the platform be y meters.
Speed of train relative to woman = (108-3)kmph = 105kmph

= (105x5/18) = 175/6 m/sec
In passing a woman, the train covers its own length with relative speed.

Length of train = (Relative speed x time ) = (525/18x6) = 175m

Also speed of train = (105x5/18)m/sec = 175/6m/sec
(x+y)/(75/3) = 10
(x + y) = 750/3 = 250
y= (250 - 175)m = 75m