SOLUTION: Professor Johnson drove from Atlanta to Bogart during rush hour at an average speed of 30 mph, then drove back the same way at an average speed of 45 mph. If the round trip took 1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Professor Johnson drove from Atlanta to Bogart during rush hour at an average speed of 30 mph, then drove back the same way at an average speed of 45 mph. If the round trip took 1       Log On


   

Question 835940: Professor Johnson drove from Atlanta to Bogart during rush hour at an average speed of 30 mph, then drove back the same way at an average speed of 45 mph. If the round trip took 1 hr and 45 mins, how many miles is it from Atlanta to Bogart?
I was trying to use distance=rate x time but i cannotfigure this one out not sure if its even that formula
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=1.75,
30a=45b,
30a+45b=x
a=1.05, b=0.7, x=63.
63/2=31.5
31.5 miles from Atlanta to Bogart
30*1.05=31.5
45*.7=31.5