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?

Answer

240m

A train passes the platform in 36 seconds.
The train passes a man in 20 seconds.
The speed of the train is 54km/h.
Speed = Distance/Time
To convert km/h into m/s we multiply by 5/18
Convert speed into m/s
=> 54 x 5/18 = 15 m/s
The length of the train is:
=> 15 × 20 = 300 meter
Distance covered in 36 seconds
=> 36 x 15 = 540 meter
The length of the platform is:
=> 540 - 300 = 240 meter

The length of the platform is 240 meters

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