SOLUTION: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more th

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Question 210931: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more than three times the distance traveled by the car heading east. Find the distance between the cars at that time
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = distance travelled by the
car going east when the car going north
has gone mi
given:
Distance between the cars is

Using the pythagorean theorem, I can say




Using the quadratic formula:








(Can't use this answer)



and, since distance between the cars is

mi
The distance between the cars is 25 mi
check:



OK



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