Question : Two trains P and Q of lengths 320 m and 540 m, respectively, are running in the same direction on parallel tracks at 108 km/hr and 144 km/hr, respectively. How much time will the trains take to cross each other completely?
Option 1: 86 sec
Option 2: 54 sec
Option 3: 32 sec
Option 4: 68 sec
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Correct Answer: 86 sec
Solution : Given: Lengths of two trains P and Q are 320 m and 540 m, respectively. The speeds of two trains running in the same direction are 108 km/hr and 144 km/hr, respectively. So, the relative speed of the two trains = (144 – 108) = 36 km/hr 36 km/hr = $\frac{36×1000}{3600}=10$ m/sec Relative distance that they need to cross = (320 + 540) = 860 m We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ So, the required time = $\frac{860}{10}=86$ sec Hence, the correct answer is 86 sec.
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