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A train 200m long passes a pole in 10 seconds. What is the speed of the train in km/hr?
72 ┬аkm/hr
36 ┬аkm/hr
90 ┬аkm/hr
54 ┬аkm/hr
72 ┬аkm/hr
Use the conversion factor: multiply m/s speed by 18/5 to get km/hr. Since 200/10 = 20 m/s, just calculate 20 * 3.6 = 72 km/hr.
Length of the train L = 200m, Time taken to pass a pole t = 10s.
Speed=TimeDistanceтАЛ├Ч518тАЛ
Use the conversion factor: multiply m/s speed by 18/5 to get km/hr. Since 200/10 = 20 m/s, just calculate 20 * 3.6 = 72 km/hr.
Failing to convert units from m/s to km/hr, which leads to selecting incorrect values like 20 instead of 72.
Calculate speed in m/s
Since the train passes a pole, the distance covered is equal to the length of the train. Speed in m/s is calculated as:
v=10┬аs200┬аmтАЛ=20┬аm/s
Convert speed to km/hr
To convert from m/s to km/hr, multiply the value by 18/5:
Speed=20├Ч518тАЛ=4├Ч18=72┬аkm/hr
A is correct because the calculated speed of the train is 72 km/hr.
Always ensure units are consistent before performing calculations; conversion between m/s and km/hr is a frequent step in Time, Speed, and Distance problems.
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