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A train 150 meters long is running at a speed of 54 km/hr. How much time will it take to cross a platform 250 meters long?
24┬аseconds
26.67┬аseconds
30┬аseconds
20┬аseconds
26.67┬аseconds
Convert 54 km/hr to m/s by multiplying by 5/18: 54├Ч185тАЛ=15 m/s. Then, simply divide total distance (400m) by 15.
Length of train = 150m, Length of platform = 250m, Speed of train = 54 km/hr.
Time=SpeedTotalDistanceтАЛ
Convert 54 km/hr to m/s by multiplying by 5/18: 54├Ч185тАЛ=15 m/s. Then, simply divide total distance (400m) by 15.
Failing to add the train's length to the platform's length (using only 250m) or forgetting to convert km/hr to m/s.
Calculate Total Distance
To cross the platform, the train must cover its own length plus the length of the platform.
Total┬аDistance=150m+250m=400m
Convert Speed to m/s
Since distance is in meters, convert the speed from km/hr to m/s by multiplying by 5/18.
Speed=54├Ч185тАЛ=15┬аm/s
Calculate Time
Apply the time formula using the total distance and speed in m/s.
Time=15400тАЛ=26.67┬аseconds
B is correct because the total distance of 400 meters divided by the speed of 15 m/s results in 26.67 seconds.
This concept of adding lengths applies to all 'crossing' problems, including bridges, tunnels, and other trains; always remember that the 'distance' is the sum of both objects' lengths.
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