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 20km/hr in the direction A to B notices that a bus goes past him every 18min in the direction of his motion, and every 6min in the opposite direction. What is the period T of the bus service and with what speed (assumed cons†an t) do the buses ply on the road?

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