Question : A 252 m long train is running at a speed of 125 km/h. What is the time (in seconds) in which it will pass a man who starts from the engine running at the speed of 17 km/h in the same direction as that of the train?
Option 1: 7.6
Option 2: 8
Option 3: 8.4
Option 4: 6.4
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Correct Answer: 8.4
Solution :
Given:
A 252 m long train is running at a speed of 125 km/h.
The speed of the man is 17 km/h.
They are going in the same direction.
So, their relative speed is (125 – 17) = 108 km/h = 30 m/s
So, the train will cross the man in $\frac{252}{30}$ = 8.4 seconds
Hence, the correct answer is 8.4.
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