Two town A and 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 `20kmh^(-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 do the buses ply of the road?

Explanation

`V=40kmh^(-1)` and T=9 min.