The length of the platform is 240 meters.
Given Data:
Speed of the train = 54 km/hour
= [(54 × 1000) / 3600] m/s
= 15 m/s
Time is taken to pass the station platform = 36 seconds
Time is taken to give the man = 20 seconds
To Find:
The length of the platform =?
Solution:
The train passes the man standing on the platform in 20 seconds. So, the distance traveled by train is:
Distance = speed × time
Distance = 15 m/s × 20 seconds
Distance = 300 meters
Now, when the train passes the platform, the total distance traveled will be increased, the combined length of both the train and the platform.
Total distance = Length of the platform (P) + length of the train (T)
Total distance = speed of the train × time taken to pass the station
P + T = 15 m/s × 36 seconds
P + T = 540 meters
P + 300 meters = 540 meters
P = 540 – 300
P = Length of the Platform = 240 meters.
So, a train with a speed of 15 m/s and a length of 300 meters will take 36 seconds to cross a platform 240 meters long.
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