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Motion in 1 D: Relative velocity

(On request - Ritik)

Q- Two towns A&B are connected by a regular bus service with a bus leaving in either direction every T min. A man cycling with a speed of 20 Km/hr in the direction A to B notices that a bus goes past him every 18min 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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