SOLUTION: Leon drove 270 miles to 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 ->  Exponential-and-logarithmic-functions -> SOLUTION: Leon drove 270 miles to 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 148740: Leon drove 270 miles to 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?
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
v1 = Pat velocity
v1-10 = Leon velocity
then
330/v1 = 270/(v1-10)
then
330(v1-10)=270v1
60v1=3300
v1=55 miles per hour
v1-10=45 miles per hour