A colleague's student teacher and I were trying to think up a way to hook our Math 1 students into wanting to solve a system. An idea came, and we quickly whipped up this video:
(Clearer videos can be downloaded)
It took a few days before the students were confident enough to solve the problem, but during that time they kept asking about the outcome of the race. The math works out nicely if you use two data points when both runners are in the scene. Students can solve graphically, but the points are close enough that a range of answers will show up - hence the need for substitution or elimination.