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Question

# The average speed of a train while travelling from station A to station B is 25% more than the average speed of the train travelling back from station B to station A. The train halts for one hour on station B. The total time taken for the complete to and fro journey is 19 hours, and the distance between stations A and B is 450 km. Find the speed of the train while travelling from station A to station B.

A
45 km/h
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B
54 km/h
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C
55.55 km/h
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D
56.25 km/h
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Solution

## The correct option is D 56.25 km/hLet the speed of the train from B to A=S, then the speed of the train from A to B will be =1.25S Total time taken to cover the distance from A to B and back (excluding the halting time of 1 hour) =19−1=18 hours Time taken to travel from A to B →4501.25S=t1 Time taken to travel from B to A →450S=t2 t1+t2=4501.25S+450S=18 ⇒360S+450S=18 ⇒810=18S⇒S=45 Hence, speed from A to B =1.25×45=56.25 km/h

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