Question

If a train 110m long passes a signal pole in 3 sec. then the time taken by it to cross a railway platform 165m long is

Answer 1

Time taken by the train of length l metres to pass a stationary object of length b metres is the time taken by the train to cover (l + b) metres.

Given :

Iength if the train = l metres = 110 metres

Time taken = 110/ speed

3 sec = 110 metres/speed ---------------------1

Length of the platform I.e. stationary object = 165 metres

Therefore, Time taken by the train to cover (l + b) metres = 110 + 165 = 275 metres is x sec

x = 275metres /speed ---------------------2

Equation 1/Equation2

Since the speed is the same,

3/x = 110/275

x = 275 * 3/110

   = 7.5 sec

Answer – Time taken by the train to cross a railway platform is 7.5 sec.