9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?
Let the speed of goods train = $$x$$ km/hr
Speed of another train = 72 km/hr
Distance between the two trains = $$72 \times 9 = 648$$ km
The trains are moving in same direction, => Relative speed = $$(72 - x)$$ km/hr
Time = 9 + 3 = 12 hours
=> speed = distance/time
=> $$72 - x = \frac{648}{12} = 54$$
=> $$x = 72 - 54 = 18$$ km/hr
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