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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


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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