A train crosses 2 men running in the same direction at speeds 5 km hr and 8 km hr in 12 seconds and ...........

Quantitative Aptitude ( CCS) Problems on trains

A train crosses 2 men running in the same direction at speeds 5 km/hr and 8 km/hr in 12 seconds and 15 seconds respectively. Find the speed of the train.

30 km/hr

24 km/hr

25 km/hr

20 km/hr

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Explanation:

Solution:
Let the speed of the train is s km/hr and its length is a m.
So
a/[(s-5)*(5/18)] = 12; [In same direction relative speed is obtained by subtracting. Also changing km/hr to m/s]
Solve 3a = 10s – 50 . . . . . . . . (i)
And also
a/[(s-8)*(5/18)] = 15;
6a = 25s-200 . . . . . . . . . .. . . (ii)
Solve (i) and (ii)
s = 20 km/hr