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Two towns A and B are connected by a reg...

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h' in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. The period T of the bus service and speed of buses on the road are

A

9 min, 40 Kmph

B

12 min, 10 Kmph

C

12 min, 40 Kmph

D

9 min, 60 Kmph

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The correct Answer is:
A
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Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^(-1) in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road ?

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