Question 57

5 hrs 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?

Solution

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

Speed of another train = 70 km/hr

Distance between the two trains = $$70 \times 5 = 350$$ km

The trains are moving in same direction, => Relative speed = $$(70 - x)$$ km/hr

Time = 5 + 9 = 14 hours

=> speed = distance/time

=> $$70 - x = \frac{350}{14} = 25$$

=> $$x = 70 - 25 = 45$$ km/hr

=> Ans - (A)

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