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Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is-

A. 30 km/hr

B. 45 km/hr

C. 60 km/hr

D. 75 km/hr

Correct Answer : C.


Let the speed of the slower train be x m/sec.  Then, speed of the faster train = 2x m/sec.  Relative speed = (x + 2x) m/sec = 3x m/sec.  ∴(100 + 100)8= 3x   ⇒24x = 200   ⇒x = 253.  So, speed of the faster train = 503 m/sec= 503 x 185 km/hr= 60 km/hr.

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