SOLUTION: Two cars traveling leave an intersection, one traveling west and the other traveling south. After some time, the slower car is mile nearer to the intersection than the faster car.

Question 443521: Two cars traveling leave an intersection, one traveling west and the other traveling south. After some time, the slower car is mile nearer to the intersection than the faster car. At that time, the two cars are 5 miles apart. How far did each car travel?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
n2+(n+1)2=(5)2
n2+n2+2n+1=25
2n2+2n-24=0
n2+n-12=0
(n+4)(n-3)=0
n=3 or -4
Throwing out the negative answer, we get the slower car traveling 3 miles, and the faster car traveling 4 miles..
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