AP EAPCET 25-Aug-2021 Shift 1 Paper

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 kmph from A to B notices that a bus travelling in the direction of his motion goes past him every 18 minutes and every 6 minutes he notices a bus travelling in the opposite direction go past him. Assuming that the busses travel with a constant speed. find T and the constant speed of the buses.