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Two trains 100 meters and 300 meters long are running in the same direction with speeds of 54 kmph and 36 kmph. In how much time will the first train cross the second?

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80 seconds

37 seconds

90 seconds

70 seconds

answer is C.

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Detailed Solution

Speed 1 = 54 kmph $54 \times \frac{5}{18} = 15 m p s$

$S p e e d 2 = 36 k m p h = 36 \times \frac{5}{18} = 10 m p s$

$T o t a l distance = 100 + 300 = 400 m$

$Relative s p e e d = S p e e d 1 - S p e e d 2 = 15 - 10 = 5 m p s$

$T i m e t a k e n = D / S = \frac{400}{5} = 80 seconds$

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