Question 66

4 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 8 hours. What is the speed of the goods train?

Solution

Let the speed of goods train = $$x$$ km/hr

Speed of another train = 72 km/hr

Distance between the two trains = $$72 \times 4 = 288$$ km

The trains are moving in same direction, => Relative speed = $$(72 - x)$$ km/hr

Time = 4 + 8 = 12 hours

=> speed = distance/time

=> $$72 - x = \frac{288}{12} = 24$$

=> $$x = 72 - 24 = 48$$ km/hr

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