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A train can travel 50% faster than a car. Both start from 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:

1. 100 kmph
2. 110 kmph
3. 120 kmph
4. 130 kmph

Correct answer: 120 kmph

Solution

Let the car’s speed be x km/h, so the train’s speed is 1.5x km/h. Since both arrive together and the train loses 12.5 minutes = 1/4 hour in stoppages, the train’s running time is 1/4 hour less than the car’s travel time. Solving 75/x - 75/(1.5x) = 1/4 gives x = 120 km/h.

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