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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 __

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 __ Correct Answer 6 km

Let the time taken to travel at speeds 3 km/h and 4 km/h be t1 and t2 respectively. So, t1 - t2 = 15 - ( - 15) = 30 minutes = 0.5 h Now, let the distance travelled be = x km So, (x / 3) - (x / 4) = 0.5 ⇨ x = 6 km

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