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Question

Two trains, each 50 m long are moving parallel towards each other at speeds 10 m/s and 15 m/s respectively. How much time will they take to pass each other?

A
8s
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B
4s
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C
2s
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D
6s
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Solution

The correct option is B 4s
Velocity of train 1 =15 m/s
Velocity of train 2 =10 m/s ( It is moving in opposite direction to that of train 1)
Let Vr be the relative velocity of the train 1 w.r.t train 2
Vr=25 m/s
Distance travelled by both trains to cross each other is given by
d=50 m+50 m
d=100 m
Time after which they will pass each other =dVr=10025=4 s

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