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A train 150m long is running at 54 km/h. How much time will it take to cross a pole?
10 seconds
12 seconds
15 seconds
8 seconds
10 seconds
Multiply the speed in km/h by 185тАЛ to get m/s, then divide the train's length directly by this speed.
Length of the train L = 150 m, Speed of the train v = 54 km/h
t=vLтАЛ
Multiply the speed in km/h by 185тАЛ to get m/s, then divide the train's length directly by this speed.
Forgetting to convert the speed from km/h to m/s, leading to a calculation error due to mismatched units.
Convert Speed to m/s
Convert the train speed from km/h to m/s by multiplying by 185тАЛ.
v=54├Ч185тАЛ=15┬аm/s
Identify Distance to Cover
When crossing a pole, the train covers a distance equal to its own length, L=150┬аm.
L=150┬аm
Calculate Time
Apply the formula for time t=vLтАЛ with the distance and speed.
t=15150тАЛ=10┬аseconds
A is correct because the time taken to cross the pole is 10 seconds.
Unit conversion between km/h and m/s is foundational for solving problems involving platforms, bridges, and relative speeds in railway exams.
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