SOLUTION: Two cars leave an intersection one car travels north; the other east. When the car traveling north had gone 6 miles, the distance between the cars was 2 miles more than the distanc

Algebra.Com
Question 996030: Two cars leave an intersection one car travels north; the other east. When the car traveling north had gone 6 miles, the distance between the cars was 2 miles more than the distance traveled by the car heading east how far had the eastbound car traveled
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Two cars leave an intersection one car travels north; the other east. When the car traveling north had gone 6 miles, the distance between the cars was 2 miles more than the distance traveled by the car heading east how far had the eastbound car traveled
---
Draw the picture.
north:: 6 miles
east:: x miles
diagonal(x+2) miles
---------
Equation:
(x+2)^2 = x^2 + 6^2
-----
x^2 + 4x + 4 = x^2 + 36
------
4x - 32 = 0
4(x-8) = 0
x = 8 miles
x+2 = 10 miles
----------------
Cheers,
Stan H.
------------

RELATED QUESTIONS

Two cars leave an intersection. One car travels north; the other east. When the car... (answered by josmiceli)
Two cars leave an intersection. One car travels north; the other east. When the car... (answered by ankor@dixie-net.com)
Two cars leave an intersection. One car travels north; the other travels east. When the... (answered by josmiceli)
Two cars leave an intersection. One car travels north; the other travels east. When the (answered by ankor@dixie-net.com)
Two cars leave an intersection. One car travels north; the other travels east. When the (answered by mananth)
Two cars leave an intersection. One car travels north; the other travels east. (answered by mananth)
Two cars leave an intersection. One car travels north; the other travels east. When the... (answered by mananth)
How do I go about solving this word problem? Two cars leave an intersection. One car... (answered by stanbon)
Two cars leave an intersection. One car travels North the other travels East. When the... (answered by ankor@dixie-net.com)