The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for 2 h on reaching the destination. The total time taken to complete to and fro journey is 32 h, covering a distance of 1600 km. Find the speed of the train in the onward journey?

56.25 km/h
60 km/h
66.50 km/h
67 km/h

Correct Answer: 60 km/h

Explanation:

Let speed in the return journey = V
∴ Speed in onward journey = (125/100) x V = 5V/4 km/h
Average speed = (2x 5V/4 x V) / (5V/4 + V) = 10V/9 km/h
∴ 1600 x (9/10V) = 30 [∴ halts for 2 h ]
∴ V = 1600 x 9/30 x 10 = 48 km/h
∴ Speed in onward journey = 5V/4 = 5/4 x 48 = 60 km/h

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