A train is running at the rate of 60 kmph. A man is also going in the same direction on a track
parallel to the rails at a speed of 45 kmph. If the train crosses man in 48 seconds, the length of the train is?
(a) 50m
(b) 150m
(c) 100m
(d) 200m
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answer : option (d) 200m
explanation : Let length of train is L
speed of train = 60kmph = 60 × 5/18 = 50/3 m/s
speed of man = 45kmph = 45 × 5/18 = 25/2 m/s
a/c to question, both train and man are going same direction.
so, relative speed of train with Respect to man = 50/3 m/s - 25/2 m/s
= (25/6) m/s
train crosses man in 48 second
so, length of train = relative speed of train with respect to man × time taken
= 25/6 × 48 = 25 × 8 = 200m
hence, length of train is 200m
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