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Question

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:

Options:
A .  30 km/hr
B .  45 km/hr
C .  60 km/hr
D .  75 km/hr
E .  None of these
Answer: Option 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) = 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.

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