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A person travels a certain distance at 3 km/hr and reaches 15 min late. If he travels at 4 km/hr, he reaches 15 min earlier. The distance he has to travel is

4.5 km

6 km

7.2 km

12 km

Explanation:

Let the distance be x and the difference between time taken = 15 – (–15) = 30 mins = 1/2 hr.
Time taken when travelled at 3 km/hr (slower) – Time taken when travelled at 4 km/hr (faster) = Difference in time = 1/2 hr
x /3 - x/4 = 1/2
⇒ 4x - 3x /12 = 1/2
⇒ x = 6 km

By: Amit Kumar

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