Two trains of equal length , running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in -

Two trains of equal length , running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in - Correct Answer 14.4 seconds

Let the length of each train be x meter. Then, speed of 1st train = x/18 m/sec Speed of 2nd train = x/12 m/sec Now, When both trains cross each other, time taken = 2x/(x/18 + x/12) = 2x/{(2x + 3x)/36} = (2x × 36)/5x = 72/5 = 14.4seconds
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