THREE MOTORISTS A, B, AND C OFTEN TRAVEL ON A CERTAIN H...

9.

Three motorists A, B, and C often travel on a certain highway, and each motorist always travels at a

constant speed. A is the fastest of the three and C is the slowest. One day when the three travel in the

same direction, B overtakes C. Five minutes later, A overtakes C. In another three minutes, A overtakes

B.

On another occasion when they again travel in the same direction, A overtakes B first. Nine minutes

later, A overtakes C.

When will B overtake C?

Solution:

15 minutes.