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# Two Trains, Each 100 M Long, Moving in Opposite Directions, Cross Each Other in 8 S. If One is Moving Twice as Fast the Other, Then the Speed of the Faster Train is - Mathematics

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MCQ

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 s. If one is moving twice as fast the other, then the speed of the faster train is

#### Options

• 30 km/h

• 45 km/h

• 60 km/h

• 75 km/h

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#### Solution

60 km/h
Explanation:
Let the speed of the slower train be x m/s.
Then, the speed of the faster train = 2x m/s.
Relative speed = (x + 2x) m/s = 3x m/s.

∴ ((100+100))/8=3x

⇒ 24x = 200

⇒ x=25/3m/s

So, speed of the faster train = 50/3m/s

= (50/3xx18/5)=60km/h

Concept: Time, Distance and Speed(Entrance Exam)
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