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:
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
-
A45 km/h
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B54 km/h
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C60 km/h
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D72 km/h
Answer
Correct Answer: 60 km/h
Explanation
Given
- Each train length = 100 m.
- They move in opposite directions and cross in 8 s.
- One train is twice as fast as the other.
Let slower speed = u m/s, faster speed = 2u m/sRelative speed = u + 2u = 3uTotal distance to cross = 100 + 100 = 200 m200 = 3u × 8 ⇒ u = 25/3 m/sFaster speed = 2u = 50/3 m/s = (50/3) × 3.6 = 60 km/h