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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Leon drove 270 miles the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?      Log On


   

Question 103600This question is from textbook Elementary & Intermediate Algebra (University of Phoenix)
: Leon drove 270 miles the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive? This question is from textbook Elementary & Intermediate Algebra (University of Phoenix)

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
270/X=330/(X+10) NOW CROSS MULTIPLY
330X=270(X+10)
330X=270X+2700
330X+270X=2700
600X=2700
X=2700/600
X=45 FOR THE SPEED OF LEON
45+10=55 FOR THE SPEED OF PAT.
PROOF
270/45=330/55
6=6