Prakhar is standing on a railway bridge which is 270 m long He finds that a train crosses the bridge...........

Quantitative Aptitude (CDS) Problems on trains

Prakhar is standing on a railway bridge which is 270 m long. He finds that a train crosses the bridge in 30 seconds but himself in 14 seconds. What is the length of the train and its speed?

236.25 m , 60.75 kmph

263.80 m , 65.75 kmph

363.65 m , 70.50 kmph

432 m , 70 kmph

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Explanation:

Let the length of the train be x metres.
Then, the train covers x meters in 14 seconds and (x+ 270) metres in 30seconds
x/14 = (x+270)/30
30x = 14(x+270)
x= 236.25
Length of the train = 236.25m
Speed of the train = (236.25/14)m/sec = 16.8 m/sec
16.8(18/5)kmph = 60.75 kmph