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Question

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Options:
A .  45 km/hr
B .  50 km/hr
C .  54 km/hr
D .  55 km/hr
Answer: Option B

Speed of the train relative to man =\(\left(\frac{125}{10}\right)m/sec\)


=\(\left(\frac{25}{2}\right)m/sec\)


=\(\left(\frac{25}{2}\times\frac{18}{5}\right)km/hr.\)


= 45 km/hr.


Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.


 therefoe x - 5 = 45         x = 50 km/hr.


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