Question

Sneha travels from village ‘K’ to village ‘L’. If she cycles at 36 km/h, she reaches 20 minutes early. If she cycles at 24 km/h, she reaches 40 minutes late. What is the distance between village ‘K’ and village ‘L’?

A 28 km Correct Answer Incorrect Answer
B 35 km Correct Answer Incorrect Answer
C 80 km Correct Answer Incorrect Answer
D 72 km Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the distance between village ‘K’ and village ‘L’ be ‘d’ km Let the correct time to travel be ‘t’ hours According to the question, (d/24) = t + (40/60) = t + 0.667 And, (d/36) = t - (20/60) = t - 0.333 Or, (d/24) - (d/36) = 0.667 + 0.333 = 1 Or, (3d - 2d) ÷ 72 = 1 Or, d = 72 km Therefore, distance between village ‘K’ and village ‘L’ is 72 km.

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