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A train travelling at a speed of 72 km/h crosses a pole in 24 sec. What is the length of the train?
300 m
125 m
150 m
480 m
480 m
Convert speed from km/h to m/s by multiplying by 185: 72×185=20 m/s. Then multiply by time: 20×24=480 m.
Speed of the train = 72 km/h, Time taken to cross a pole = 24 sec
Length=Speed×Time
Convert speed from km/h to m/s by multiplying by 185: 72×185=20 m/s. Then multiply by time: 20×24=480 m.
Multiplying the speed directly by time without converting km/h to m/s, which gives an incorrect result.
Convert speed from km/h to m/s
To convert speed from kilometers per hour to meters per second, multiply by 185.
Speed=72×185=20 m/s
Apply formula for length of train
When a train crosses a pole, the distance covered is equal to the length of the train itself (Distance=Speed×Time).
Length=20×24=480 m
D is correct because multiplying the converted speed of 20 m/s by the time of 24 seconds gives a length of 480 m.
When a train crosses a platform or bridge of length L, the total distance covered is the sum of the train's length and the platform's length (D=Ltrain+Lplatform).
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