SOLUTION: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance

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Question 170345: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had the east bound car traveled?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
label the distance the car going east traveled x and so the distance between the cars would be labeled as x+5. since you have a right triange you can use the pathagorean theorem with one leg 15,the other leg x and the hypothenuse x+5
so write you equation and solve for x:15%5E2%2Bx%5E2=%28x%2B5%29%5E2
:
225%2Bx%5E2=x%5E2%2B10x%2B25
:
10x=200
:
highlight%28x=20%29 distance the car east traveled