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Two trains A and B start running together from the same point in the same direction, at the speed of 60 kmph and 72 kmph respectively. If the length of each of the trains is 240 meters, how long will it take for B to cross train A?

A. 1 min 12 sec

B. 1 min 24 sec

C. 2 min 12 sec

D. 2 min 24 sec

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Relative speed}} \cr & {\text{ = (72}} - {\text{60) km/hr}} \cr & {\text{ = 12 km/hr}} \cr & = \left( {12 \times \frac{5}{{18}}} \right)m/\sec \cr & = \left( {\frac{{10}}{3}} \right)m/\sec \cr & {\text{Total distance covered}} \cr & {\text{ = Sum of lengths of trains}} \cr & {\text{ = (240 + 240) m}} \cr & {\text{ = 480 m}} \cr & {\text{Time taken}} \cr & {\text{ = }}\left( {480 \times \frac{3}{{10}}} \right)\sec \cr & = 144\sec \cr & = 2\min \,24sec \cr} $$

This Question Belongs to Arithmetic Ability >> Problems On Trains

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Comments ( 3 )

  1. Atul Tiwary
    Atul Tiwary :
    2 years ago

    The answer is right because both train has different speed.And faster train will run faster than slower train

  2. Prawesh Pradhan
    Prawesh Pradhan :
    2 years ago

    The answer is wrong because both train started TOGETHER from SAME POINT, so the distance will only be 240 mtrs not 480 mtrs. One train is not overtaking another train since both started from same point at same time.

  3. Sahil Midda
    Sahil Midda :
    2 years ago

    The ans should be 1minute and 12 second. Because the train B will have to cover 240 m distance relatively more, not 240 + 240. Because theirs starting point is same.

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