SOLUTION: Leon drove 270 miles to the lodge in the same time as john drove 330 miles to the lodge. If John drove 10 miles per hour faster than Leon, then how fast did each of them drive?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Leon drove 270 miles to the lodge in the same time as john drove 330 miles to the lodge. If John drove 10 miles per hour faster than Leon, then how fast did each of them drive?      Log On


   

Question 297340: Leon drove 270 miles to the lodge in the same time as john drove 330 miles to the lodge. If John drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
270=RT
T=270/R
330=(R+10)T
330=(R+10)(270/R)
330=(270R+2,700)/R
330R=270R+2,700
60R=2,700
R=2,700/60
R=45 MPH. ANS. FOR THE LEON'S SPEED.
45+10=55 MPH. ANS. FOR JOHN'S SPEED.
PROOF:
330=55(270/45)
330=55*6
330=330