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A man standing on a railway platform 100m long, observes that a train crossed the platform in 25 seconds but himself in 15 seconds. Find the length of the train and it’s speed?
  • a)
    160m, 20m/s  
  • b)
    150m,10m/s   
  • c)
    200m,15m/s
  • d)
    175,10m/s
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man standing on a railway platform 100m long, observes that a train ...
PL = 100m.  TL = ? (25 – 15) = 10 sec
Speed of Train 
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Most Upvoted Answer
A man standing on a railway platform 100m long, observes that a train ...
Let's assume the length of the train is L.

When the train crosses the platform, it covers a distance equal to the length of the platform plus the length of the train. So the total distance covered by the train is 100m + L.

The time taken by the train to cross the platform is 25 seconds. Therefore, the speed of the train is (100m + L)/25s.

When the man crosses the platform, he only covers the distance equal to the length of the platform. So the total distance covered by the man is 100m.

The time taken by the man to cross the platform is 15 seconds. Therefore, the speed of the man is 100m/15s.

Since the speed of the train and the speed of the man are the same (since they are both standing still), we can set up the following equation:

(100m + L)/25s = 100m/15s

Cross-multiplying, we get:

15(100m + L) = 25(100m)

1500m + 15L = 2500m

15L = 1000m

L = 1000m/15

L = 66.67m

Therefore, the length of the train is approximately 66.67 meters.
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A man standing on a railway platform 100m long, observes that a train crossed the platform in 25 seconds but himself in 15 seconds. Find the length of the train and it’s speed?a)160m, 20m/sb)150m,10m/sc)200m,15m/sd)175,10m/sCorrect answer is option 'B'. Can you explain this answer?
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