Problems on Trains - Arithmetic Aptitude Questions and Answers

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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:

45 km/hr

50 km/hr

54 km/hr

55 km/hr

Answer : Option B

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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