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Question

A train, 240 m long crosses a man walking along the line in opposite direction at the rate of 3 kmph in 10 seconds. The speed of the train is

A
63 kmph
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B
75 kmph
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C
83.4 kmph
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D
86.4 kmph
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Solution

The correct option is D 83.4 kmph
Given that,
Length of train = 240 m
Speed of man = 3 km/hr
Time taken = 10 seconds
Let speed of train be x kmph
We know that,
Relative speed = LengthoftrainTimetaken
(x + 3) 24010001060×60=24×60×60100×10

(x + 3) = 86.4
x = 86.4 3 x = 83.4
Hence, speed of train is 83.4 kmph.

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