Okay here's a problem to play around with. I saw this posted years ago on a math puzzle website. The given solution is very simple and I to this day haven't been able to figure out how they came up with it. The solution I got was complicated and tedious. Anyway, maybe someone here can figure it out.

Here is the problem:

(1) There is a wolf and a chicken initially separated by some distance.
(2) The wolf runs at a speed that is faster than the chicken's.
(3) The chicken and wolf begin running at the same time. The chicken runs perpendicular to the line that would initially connect them and can only run in that direction. The wolf on the other hand runs such that he is always facing the chicken.

The question is how far does the chicken get before the wolf catches the chicken.

For those of you who prefer working with numbers let's say that they are initially separated by a distance of 200 m. The wolf runs at 5 m/sec and the chicken can run 3 m/sec.

Hope I explained that well enough.