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How many seconds will a train of 100┬аm long take to cross a bridge of 150┬аm long if the speed of the train is 36┬аkm/h?
20
25
18
30
25
Convert speed from km/h to m/s by multiplying with 5/18. For 36 km/h: 36├Ч185тАЛ=10 m/s. Then, time = (100+150)/10 = 25 seconds.
Train length L1 = 100 m, Bridge length L2 = 150 m, Speed v = 36 km/h
t=vDтАЛ
Convert speed from km/h to m/s by multiplying with 5/18. For 36 km/h: 36├Ч185тАЛ=10 m/s. Then, time = (100+150)/10 = 25 seconds.
Students often forget to add the train's length to the bridge's length (total distance = 250m) or fail to convert units from km/h to m/s.
Calculate total distance
To cross the bridge, the train must cover its own length plus the length of the bridge.
D=100┬аm+150┬аm=250┬аm
Convert speed to m/s
Convert the speed from km/h to m/s by multiplying by 185тАЛ.
v=36├Ч185тАЛ=10┬аm/s
Calculate time
Use the formula t=vDтАЛ to find the total time in seconds.
t=10250тАЛ=25┬аs
B is correct because the total distance of 250 m divided by the speed of 10 m/s results in 25 seconds.
This logic is identical to problems involving 'crossing a platform' or 'entering a tunnel'. Always ensure units (meters vs kilometers) are consistent before dividing.
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