Answer to Question #21487 in Abstract Algebra for Phil Edgerton

Question

A car is traveling 60 mph A bike is seen 100 yards away going 20 mph. First case is the bike is traveling in the same direction as the car; second case is that the bike is moving towards the car. The question is what is the difference in time of "closure"? (Ie., when do they arrive at the same point? What is the point(time and distance) where they would collide? Also HOW do you solve this. And is the answer for other speeds and distances linear?