Question

Train crosses a 300 metres long platform in 38 seconds while it crosses a signal pole in 18 seconds. What is the speed of the train in kmph ?

Answer 1

Step-by-step explanation:

When a train crosses a platform it covers a distance equal to the sum of lengths of platform and the train itself. If the length of train be x metres, then

Speed of train = (x+300)/38 m/sec .... (i)

When the train crosses a signal post it covers its own length.

∴ Speed of train = x18 m/sec ....(ii)

From equations (i) and (ii)

(x+300)/38=x/18

38x - 18x = 300 × 18

=> 20x = 300 × 18

=> x = 300×1820

=> x = 270 metres

∴ Speed of train = 27018

= 15 m/sec.

= 54 kmph