A train of length 150 metres takes 10 seconds to pass over another train 100 metres long coming from...........

Quantitative Aptitude ( CCS) Problems on trains

A train of length 150 metres takes 10 seconds to pass over another train 100 metres long coming from the opposite direction. If the speed of the first train be 30 km p.h., the speed of the second train is:

54 km/hr

60 km/hr

72 km/hr

36 km/hr

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Explanation:

Let speed of the other train = S m /sec.
Speed of the first train = 30 kmph = (30 *5)/18 = 8.33 m/sec.
Relative speed = (8.33 + S) m/sec.
With this relative speed train needs to be covered (150 + 100) m in 10 seconds.
ST = D
(8.33 + S) * 10 = 250
(8.33 + S) = 25
S = 16.67 m/sec
Speed = 16.67 m/sec = (16.67 * 18)/5 = 60 kmph

Hence, option 2 is the correct answer.