SOLUTION: two cars left the same intersection. one car traveled to the north. the other car traveled to the east. the car that went east drove 7 miles further than the car that traveled to t

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Question 955279: two cars left the same intersection. one car traveled to the north. the other car traveled to the east. the car that went east drove 7 miles further than the car that traveled to the north. at that point the two cars were 13 miles aaway from each other. how far did each car travel?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
let x=distance of northbound car; x+7=eastbound car
x%5E2%2B%28x%2B7%29%5E2=13%5E2
x%5E2%2Bx%5E2%2B14x%2B49=169 Subtract 169 from each side.
2x%5E2%2B14x-120=0 Divide each side by 2.
x%5E2%2B14x-120=0
%28x-5%29%28x%2B12%29=0
x-5=0 or x+12=0
x=5 ANSWER 1: The northbound car traveled 5 miles.
x+7=5+7=12 mi ANSWER 2: The eastbound car traveled 12 miles.
CHECK:
They were separated by 13 miles
13%5E2mi%5E2=5%5E2mi%5E2%2B12%5E2mi%5E2
169mi%5E2=25mi%5E2%2B144mi%5E2
169mi%5E2=169mi%5E2