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#### Question

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 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 *T *of the bus service and with what speed (assumed constant) do the buses ply on the road?

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#### Similar questions

On a two-lane road, car A is travelling with a speed of 36 km h^{–1}. Two cars B and C approach car A in opposite directions with a speed of 54 km h^{–1} each. At a certain instant, when the distance AB is equal to AC, both being 1 km, B decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident?