6 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?
a.200m
b.240m
c.250m
d.300m
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Time taken to pass the platform = 36 seconds
Time taken to pass the man = 20 seconds
Speed of the train = 54 km/h = 15 m/s
Distance covered while passing platform = Length of the Train + Length of the Platform
Distance covered while passing platform = 36 × 15 = 540 m
Length of the train = 20 × 15 = 300 m
Hence, length of the platform = 540 - 300 = 240 m
Length of the platform = 240 m
Hence, the option b is correct.
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