# SOLUTION: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 miles, the distance between the cars was 4 miles more than the dista

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 miles, the distance between the cars was 4 miles more than the dista      Log On

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 Click here to see ALL problems on Travel Word Problems Question 293834: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 miles, the distance between the cars was 4 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled? Answer by ankor@dixie-net.com(15747)   (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 12 miles, the distance between the cars was 4 miles more than the distance traveled by the car heading east. : How far had the eastbound car traveled? : Let x = distance traveled by the eastbound car then (x+4) = distance between the cars when the northbound car has traveled 12 mi : This is a right triangle problem; c^2 = a^2 + b^2 where a = 12 mi b = x c = (x+4) : (x+4)^2 = 12^2 + x^2 = : x^2 + 8x + 16 = 144 + x^2 : x^2 - x^2 + 8x = 144 - 16 : 8x = 128 x = x = 16 mi is the distance of the eastbound car : : See if that's true, distance between the cars should be 16+4 = 20 mi 12^2 + 16^2 = 20^2 144 + 256 = 400