Question : Two trains, 180 meters and 120 meters in length, are running towards each other on parallel tracks, one at the rate of 65 km/h and another at 55 km/h. In how many seconds will they be clear of each other from the moment they meet?
Option 1: 6
Option 2: 9
Option 3: 12
Option 4: 15
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Correct Answer: 9
Solution : Use: Time taken to cross each other = $\frac{\text{Sum of the lengths of two trains}}{\text{Relative Speed}}$ Speed of 1st train = 65 km/h Speed of 2nd train = 55 km/h They run in opposite directions, therefore, Relative speed = 65 + 55 = 120 km/h Converting this into m/sec, ⇒ 120×$\frac{5}{18}=\frac{100}{3}$ m/sec Length of 1st train = 180 meter Length of 2nd train = 120 meter Total length = 180 + 120 = 300 meter Time taken = $\frac{300}{\frac{100}{3}}$ Time taken = 300×$\frac{3}{100}$ = 9 sec Hence, the correct answer is 9.
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