There are three cities A, B, and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectively towards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts traveling towards A and it crosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5. Assume that the roads joining A to C, B to C and B to A are all straight roads. If B is twice as far from A as it is from C and P would take to cover the distance from A to B, how much time would Q take to cover the distance from C to A?

Question

Accepted Answer

Q would take 5 hours to cover the distance from C to A.

Calculate the distance between A and B using the given information.
Use the ratio of speeds of P and Q to find their individual speeds.
Calculate the time taken by P to cover the distance from A to B.
Use the time taken by P to find the time taken by Q to cover the distance from C to A.