5 hours after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through tha… — Answer & Discussion

5 hours after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?

A45 km/hr
B54 km/hr
C67.5 km/hr
D36 km/hr

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Discussion 1

CCommunity23 Apr 2019

Let the speed of goods train be ‘x’ km/hr.

Let the distance covered by the goods train in (5 + 9) hours be ‘d’.

Now the second train crosses the station after 5 hours and then takes 9 hours to reach the goods train.

⇒ Second train covers distance ‘d’ in 9 hours at 70 km/hr

∴ d = s × t = 70 × 9 = 630 km.

This same distance is covered by goods train in 14 hours.

⇒ Speed of goods train = d/t = 630/14 = 45 km/hr.