Question : A 110 metres long train is running at a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that in which the train is going?
Option 1: 5 seconds
Option 2: 6 seconds
Option 3: 7 seconds
Option 4: 10 seconds
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Correct Answer: 6 seconds
Solution :
Given:
A 110 metres long train is running at a speed of 60 km/h.
The speed of the man who is running in the direction opposite to that in which the train is going is 6 km/h.
Relative speed
= ( 60 + 6 ) km/h
= 66 km/h
= $66×\frac{5}{18}=\frac{55}{3}$ m/sec
∴ Time taken to pass the man $=110×\frac{3}{55}=6$ seconds
Hence, the correct answer is 6 seconds.
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