SOLUTION: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 65 miles per hour. What was the distance bet

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 65 miles per hour. What was the distance bet      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 398044: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 65 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let D represent the distance between the home and the retreat
D = r*t OR D/r = t
Question states***
D/50 + D/65 = 10hr
solving for D
65D + 50D = 10*50*65
D = 10*50*65*/115
D = 282.6087mi