SOLUTION: Find the rate of two cars traveling in the same direction if they leave the same place at the same time. One car is one and a half times as fast as the other, and after 4 hr the fa

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find the rate of two cars traveling in the same direction if they leave the same place at the same time. One car is one and a half times as fast as the other, and after 4 hr the fa      Log On


   

Question 1008014: Find the rate of two cars traveling in the same direction if they leave the same place at the same time. One car is one and a half times as fast as the other, and after 4 hr the faster car is 80 mi ahead of the slower car.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
             rate        time       distance
SLOW          r           4         r*4
FAST         (3/2)r       4        (3/2)r*4
Difference                            80

highlight_green%28%283%2F2%29%2A4%2Ar-4r=80%29
%283%2F2%29r-r=20
r%283%2F2-1%29=20
r%2F2=20
highlight%28r=40%29 and the fast car goes 60 miles per hour.