A train crosses a 300 metre long platform in 38 seconds while it crosses a signal pole in 18 seconds...........

Quantitative Aptitude ( CCS) Time & distance

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

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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 meters, then
= (x + 300)/38 m/sec. ……….. (i)
When the train crosses a signal post it covers its own length.
∴ Speed of train
= x / 18 m/sec. ……….. (ii)
From equati0ns (i) and (ii)
= (x + 300)/38 = x/18
= 38x – 18x = 300 × 18
= 20x = 300 × 18
= x= (300 × 18)/20
= x = 270 meters
∴ Speed of train = 270/18
= 15 m/sec.
= 15 × 18/5 = 54 kmph