SOLUTION: Two cars leave Ft. Lauderdale at the same time. One heads due west, toward naples, while the other heads due south, toward miami. After 15 minues, the westbound car has gone 5 mile

Question 361920: Two cars leave Ft. Lauderdale at the same time. One heads due west, toward naples, while the other heads due south, toward miami. After 15 minues, the westbound car has gone 5 miles farther than the southbound car, and they are 25 miles apart. How far has the southbound car gone?
Please a detailed explained step by step answer.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(x+5)^2+x^2=25^2
x^2+10x+25+x^22=625
2x^2+10x+25-625=0
2x^2+10x-600=0
(2x-30)(x+20)=0
2x-30=0
2x=30
x=30/2
x=15 miles for the south bound car.
Proof:
(15+5)^2+15^2=25^2
20^2+225=625
400+225=625
625=625

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