Question 55

A train can travel 20%faster than a car. Both start from the point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is

Solution

Let speed of car = $$10x$$ km/hr

=> Speed of train = $$12x$$ km/hr

Time taken by both to travel 75 km = $$\frac{75}{10x}=\frac{75}{12x}+\frac{12.5}{60}$$

=> $$75(\frac{1}{60x})=\frac{12.5}{60}$$

=> $$x=\frac{75}{12.5}=6$$

$$\therefore$$ Speed of car = $$60$$ km/hr

=> Ans - (C)

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