Question 16

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. If the whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?

Solution

Let total distance covered (both sides) = $$2d$$ km

Speed of train = 50 km/hr and walking speed = 5 km/hr

Using, time = distance/speed

=> $$\frac{d}{50}+\frac{d}{5}=5.5$$

=> $$\frac{11d}{50}=5.5$$

=> $$d=5.5\times\frac{50}{11}=25$$ km

=> Ans - (B)

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