Question 481596
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..