SOLUTION: Two cars travel at right angles to eachother from an intersection untill they are 13 miles apart. At that point one car has gone 7 miles farther than the other. How far did the slo

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Question 448863: Two cars travel at right angles to eachother from an intersection untill they are 13 miles apart. At that point one car has gone 7 miles farther than the other. How far did the slower car travel?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=13^2
a=b+7 [b is the slower car.]
(b+7)^2+b^2=169
b^2+14b+49+b^2=169
2b^2+14b-120=0
b^2+7b-60=0
(b+12)(b-5)=0
b=5 mi, a=12 mi
.
Ed