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