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A train travelling at a speed of 45 km/h crosses a pole in 24 sec. What is the length of the train?
125 m
300 m
30 m
1.5 m
300 m
Convert speed from km/h to m/s by multiplying by 185, then multiply by the time in seconds: 45×185×24=300 m.
Speed of train = 45 km/h, Time taken to cross a pole = 24 seconds
Length of the train=Speed×Time
Convert speed from km/h to m/s by multiplying by 185, then multiply by the time in seconds: 45×185×24=300 m.
Forgetting to convert the speed from km/h to m/s before multiplying by the time in seconds.
Convert speed to m/s
To convert the speed from kilometers per hour (km/h) to meters per second (m/s), multiply by 185.
v=45×185=12.5 m/s
Apply distance formula
When a train crosses a pole, the distance covered is equal to the length of the train itself. Use the formula Distance=Speed×Time.
Length=12.5×24=300 m
B is correct because the length of the train calculated by multiplying the speed in m/s (12.5 m/s) by the time (24 s) yields 300 m.
When a train crosses a platform or bridge of length Lp, the total distance covered is the sum of the train's length and the platform's length (Ltrain+Lplatform).
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