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A 100m long train crosses a man travelling at 5km per hour in opposite direction in 7.2 seconds then velocity of train is?

A 100m long train crosses a man travelling at 5km per hour in opposite direction in 7.2 seconds then velocity of train is?

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Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Let the speed of the train  = x

Since the man and the train are moving in opposite direction'
The relative speed = (5 + x) km/h

Time taken to overtake the man is the time required to cover a distance of 100m (the length of the train)

100 m = 0.1km and 7.2 seconds = 7.2/3600 = 0.002 hours
 
 
Time = Distance/Speed

Time = 0.1/(x + 5) = 0.002

 x +5 = 0.1/0.002 = 50
 
x = 50 -5
x = 45
 
The speed of the train =  45km/h
Regards
Arun (AskIITans forum expert)

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