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Solution - Two Towns a and B Are Connected by a Regular Bus Service with a Bus Leaving in Either Direction Every T Minutes What is the Period T Of the Bus Service and with What Speed (Assumed Constant) Do the Buses Ply on the Road - Relative Velocity

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Two towns A and B are connected by a regular bus service with a bus leaving in either direction every 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 of the bus service and with what speed (assumed constant) do the buses ply on the road?

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