Line Equations?

Question

The tortoise and the hare decide to race again. How do you want the race to turn out? Should slow and steady win the race? Maybe this time the hare will win, or the race will end in a tie. Create a problem based on the tortoise and the hare that you can solve by using a system of linear equations. Explain how to solve your problem by using a system of linear equations. Explain why you chose your winner; Please explain step by step and show the example

Answer 1

Let's say the tortoise moves at one mile per hour, and the hare, in his overconfidence, starts with a 2 hour nap. then runs at 3 miles per hour. See the pic:

http://s236.photobucket.com/albums/ff177/jsardi56/?action=view¤t=tortoisandhare12-6-07.jpg

Solve the system to find out when the tortoise catches up with the hare:
X = (1/3)X + 2
X + 6 = 3X
6 = 2x
x = 3hours