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If a train traveling at a speed of 72 km/h crosses a pole in 10 seconds, then the length of the train is:
150 meters
200 meters
250 meters
300 meters
200 meters
Convert km/h to m/s by multiplying by 5/18, then multiply by time in seconds.
Speed = 72 km/h, time to cross pole = 10 s
L=v├Чt
Convert km/h to m/s by multiplying by 5/18, then multiply by time in seconds.
Forgetting to convert km/h to m/s before using the distance formula.
Convert speed to m/s
Convert 72 km/h to meters per second using factor 5/18, so v=72├Ч185тАЛ=20m/s.
v=72├Ч185тАЛ=20
Apply distance formula
When a train passes a pole, the distance covered equals its length, so L=v├Чt.
L=v├Чt
Substitute values
Insert v=20m/s and t=10s to get L=20├Ч10=200m.
L=20├Ч10=200
Verify with options
The calculated length matches option B (200 meters).
L=200┬аm
B is correct because the train length calculates to 200 meters.
Similar problems appear in relative speed questions where two trains cross each other; remember to use the sum of speeds.