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Problems on Trains - General Aptitude

Q1:

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

ANS:C - 60 km/hr

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) = 3x
8
24x = 200
x = 25 .
3
 
So, speed of the faster train = 50 m/sec
3
 
   = 50 x  18 km/hr
3 5
   = 60 km/hr.