Two trains each 100 m long moving in opposite directions cross each other in 8 seconds If one ...........

Quantitative Aptitude ( CCS) Problems on trains

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:

30 km/hr

45 km/hr

60 km/hr

75 km/hr

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Explanation:

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 = 200/24 = 25/3
So, speed of the faster train = 50/3 m/sec = 50/3 * 18/5 = 60 km/hr.