A train 125 m long passes a man running at 5 km per hour in the same direction in which the train is going, in 10 seconds. What is the speed of the train?

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  1.  45 km/hr
  2.  55 km/hr
  3.  50 km/hr
  4.  54 km/hr

Answer (Detailed Solution Below)

Option 3 :  50 km/hr
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Detailed Solution

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Given:

Length of the train = 125 m

Speed of the man = 5 km/hr

Time taken to pass the man = 10 seconds

Formula Used:

Speed of train relative to man = Distance / Time

Speed of the train (actual) = Speed of train relative to man + Speed of the man

1 m/s = 3.6 km/hr

Calculation:

Distance covered by the train = 125 m

Time taken = 10 seconds

Speed of train relative to man = 125 / 10

Speed of train relative to man = 12.5 m/s

Speed of train relative to man in km/hr = 12.5 × 3.6

Speed of train relative to man in km/hr = 45 km/hr

Speed of the train (actual) = 45 km/hr + 5 km/hr

Speed of the train (actual) = 50 km/hr

The speed of the train is 50 km/hr.

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