Inactive Tutor answered 04/17/13
First let's assume that d0 miles is initial distance between two planes.
1. Both planes are traveling toward to each other with speed (500 + (500-45)) = 955 mph, and they will pass each other in (d0/955) hours.
2. Both planes are traveling in opposite directions with 955 mph and they will never "meet" each other.
3. Plane a "tries to catch" plane b and it will happen in d0/(500-455) = d0/45 hours.
4. Plane b (slower moving one) "tries to catch" plane a .... and it will never happen.
Inactive Tutor
You are considering only one-dimensional motion. In this case everything you have said is correct. But it is not reflected in the text of the problem. Yes, we can assume, that this is a one-dimensional motion. But my point is, the author who introduces the problem, has to be accurate in making statements, so we don't have to make any additional assumptions.
04/17/13