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If a 3210 m long train crosses a pole in 107 seconds, then find the time (in seconds) taken by the train to cross a 150 m long platform.
106
114
110
112
112
Calculate speed first: S=3210/107=30 m/s. Then, calculate total distance: (3210+150)/30=3360/30=112 seconds.
Train length L1 = 3210 m, Time taken to cross a pole (length = 0) t1 = 107 s, Platform length L2 = 150 m.
Speed=TimeDistanceтАЛ, Time=SpeedLtrainтАЛ+LplatformтАЛтАЛ
Calculate speed first: S=3210/107=30 m/s. Then, calculate total distance: (3210+150)/30=3360/30=112 seconds.
Students often forget to add the train's length to the platform's length when calculating the total distance covered during the crossing.
Calculate speed of the train
Since a pole has negligible length, the train covers its own length in 107 seconds.
Speed=1073210тАЛ=30┬аm/s
Calculate total distance to cross platform
To cross a platform, the train must cover its own length plus the length of the platform.
Distance=3210+150=3360┬аm
Calculate final time
Divide the total distance by the speed of the train.
Time=303360тАЛ=112┬аs
D is correct because the train covers a total distance of 3360 meters at a speed of 30 m/s, resulting in 112 seconds.
This logic is foundational for 'Boats and Streams' and 'Time, Speed, and Distance' problems found in all competitive exams.
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