Two trains each 100 metre long are moving in opposite directions They cross each other in 8 seconds ...........

Math and Mental Ability Problems on trains

Two trains, each 100 metre long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is

75 kmph

60 kmph

35 kmph

70 kmph

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Explanation:

Total distance covered =(100+100)=200 metre
Time =8 seconds
Let speed of slower train =v m/s
Then the speed of the faster train =2v m/s(since one is moving twice as fast the other)
Relative speed =(v+2v)=3v m/s

3v = 200/8 ⇒ v = 25/3
Speed of the faster train = 2v = 50/3 m/s
= 50/3 × 18/5 km/hr = 60 km/hr

Hence, option 2 is the correct answer.

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