83. 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
✅ The correct answer is 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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