SOLUTION: Distance: Two cars leave an intersection, one traveling south and one traveling east. After 1 hour the two cars are 50 miles apart and the car traveling east has traveled 10 mil

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Question 481596: Distance: Two cars leave an intersection, one
traveling south and one traveling east. After 1 hour the two cars are 50 miles
apart and the car traveling east has traveled 10
miles farther than the car traveling south. How far
did each car travel?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
n2+(n+10)2=(50)2
n2+n2+20n+100=2500
2n2+20n-2400=0
n2+10n-1200=0
(n+40)(n-30)=0
n=30 or -40
Throwing out the negative answer, we get the southbound car traveling 30 miles, and the eastbound car traveling 40 miles..