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If a 1352 m long train crosses a pole in 169 seconds, then find the time (in seconds) taken by the train to cross a 256 m long platform.
205
193
201
195
201
Find the speed of the train first by dividing train length by pole-crossing time. Then, divide the total distance (train length + platform length) by this speed to get the required time.
Length of train (L1тАЛ) = 1352 m, Time taken to cross a pole (t1тАЛ) = 169 seconds, Length of platform (L2тАЛ) = 256 m
v=t1тАЛL1тАЛтАЛ,t2тАЛ=vL1тАЛ+L2тАЛтАЛ
Find the speed of the train first by dividing train length by pole-crossing time. Then, divide the total distance (train length + platform length) by this speed to get the required time.
Students often forget to add the platform length to the train length when calculating the time to cross the platform, or mistakenly use only the platform length.
Calculate the speed of the train
When a train crosses a pole, it covers a distance equal to its own length. Using the formula v=TimeDistanceтАЛ:
v=1691352тАЛ=8┬аm/s
Determine total distance to cross the platform
To cross a platform, the train must cover both its own length and the length of the platform:
Total┬аDistance=1352+256=1608┬аm
Calculate the time taken
Divide the total distance by the speed of the train to find the time taken:
t=81608тАЛ=201┬аseconds
C is correct because the calculated time taken by the train to cross the platform is 201 seconds.
Always ensure units are consistent (meters and seconds) before applying speed-distance-time relations in quantitative aptitude problems.
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