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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
  1. 30 km/hr
  2. 45 km/hr
  3. 60 km/hr
  4. 75 km/hr

A
45 km/hr
B
75 km/hr
C
30 km/hr
D
60 km/hr
Solution
Verified by Toppr

Let the speed of the slower train be x m/sec.
Then, speed of the fater train = 2x m/sec.
Relative speed = (x + 2x) m/sec = 3x m/sec.
100+1008=3x
24x=200
24x=200
x=253
So, speed of the faster train =503m/sec
(503×185)km/hr
=60km/hr

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