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Discussion :: Problems on Trains

1. 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:

2.  A. 45 km/hr B. 50 km/hr C. 54 km/hr D. 55 km/hr

Explanation :

Speed of the train relative to man =  $$[\frac { 25 } { 10 } ]$$ m/sec

= $$[\frac { 25 } { 2 } ]$$ m/sec

= $$[\frac { 25 } { 2 }$$ x $$\frac { 18 } { 5 } ]$$km/hr

= 45 km/hr

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

x - 5 = 45          x = 50 km/hr.

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