A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Q: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Given Speed = 54 km/h Time past a man = 20 s Time past a platform = 36 s Step 1: Train length Speed = 54 × (5/18) = 15 m/sTrain length L = 15 × 20 = 300 m Step 2: Platform length Total distance in 36 s = 15 × 36 = 540 mPlatform = 540 − 300 = 240 m

Difficulty: Medium

220 m
240 m
260 m
300 m

Correct Answer: 240 m

Explanation:

Given

Speed = 54 km/h
Time past a man = 20 s
Time past a platform = 36 s

Step 1: Train length
Speed = 54 × (5/18) = 15 m/sTrain length L = 15 × 20 = 300 m

Step 2: Platform length
Total distance in 36 s = 15 × 36 = 540 mPlatform = 540 − 300 = 240 m

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