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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?

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & {\text{Relative speed}} \cr & {\text{ = (72}} - {\text{60) km/hr}} \cr & {\text{ = 12 km/hr}} \cr & = \left( {12 \times \frac{5}{{18}}} \right)m/\sec \cr & = \left( {\frac{{10}}{3}} \right)m/\sec \cr & {\text{Total distance covered}} \cr & {\text{ = Sum of lengths of trains}} \cr & {\text{ = (240 + 240) m}} \cr & {\text{ = 480 m}} \cr & {\text{Time taken}} \cr & {\text{ = }}\left( {480 \times \frac{3}{{10}}} \right)\sec \cr & = 144\sec \cr & = 2\min \,24sec \cr} $$
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3 Comments
Atul Tiwary
Atul Tiwary 5 years ago
The answer is right because both train has different speed.And faster train will run faster than slower train
Prawesh Pradhan
Prawesh Pradhan 5 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.
Sahil Midda
Sahil Midda 5 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.