SOLUTION: Tony and Ivia started walking south from the same location at the same time. Ivia walked 8 miles and walked 1 mile per hour faster than tony who walked 6 miles. They each walked f

Algebra ->  Equations -> SOLUTION: Tony and Ivia started walking south from the same location at the same time. Ivia walked 8 miles and walked 1 mile per hour faster than tony who walked 6 miles. They each walked f      Log On


   

Question 1167579: Tony and Ivia started walking south from the same location at the same time. Ivia walked 8 miles and walked 1 mile per hour faster than tony who walked 6 miles. They each walked for the same amount of time. Describe how a proportion could be used to find the rate that each person walked. The next day they both walked 6 miles, and Ivia again walked 1 mile per hour faster than tony, who walked 3 miles per hour. Determine whether a proportion could be heard to find how long each person walked.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Tony and Ivia started walking south from the same location at the same time.
Ivia walked 8 miles and walked 1 mile per hour faster than tony who walked 6 miles.
They each walked for the same amount of time.
Describe how a proportion could be used to find the rate that each person walked.
let s = Tony's speed in mph
then
(s+1) = Ivia speed
:
%28%28s%2B1%29%29%2Fs = 8%2F6
cross multiply
8s = 6(s+1)
8s = 6s + 6
8s - 6s = 6
2s = 6
s = 6/2
s = 3 mph is Tony's speed
then, obviously
4 mph is Ivia's speed
:
The next day they both walked 6 miles, and Ivia again walked 1 mile per hour faster than tony, who walked 3 miles per hour.
Determine whether a proportion could be heard to find how long each person walked.
No. A simple equation, Time = Dist/speed would be used
6/3 = 2 hrs for Tony and 6/4 = 1.5 hrs for Ivia