SOLUTION: Jenna walks 2 mph slower than Hampton. In the time it takes Hampton to walk 8 miles, Jenna walks 5 miles. Find the speed of each person.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jenna walks 2 mph slower than Hampton. In the time it takes Hampton to walk 8 miles, Jenna walks 5 miles. Find the speed of each person.      Log On


   

Question 291438: Jenna walks 2 mph slower than Hampton. In the time it takes Hampton to walk 8 miles, Jenna walks 5 miles. Find the speed of each person.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jenna walks 2 mph slower than Hampton.
In the time it takes Hampton to walk 8 miles, Jenna walks 5 miles.
Find the speed of each person.
:
Let s = J's walking speed
then
(s+2) = H's walking speed
:
Write a time equation: Time = dist/speed
:
H walks 8 mi time = J walks 5 mi time
8%2F%28%28s%2B2%29%29 = 5%2Fs
Cross multiply
8s = 5(s+2)
:
8s = 5s + 10
:
8s - 5s = 10
:
3s = 10
:
s = 10%2F3
s = 31%2F3 mph is J's walking speed
then
51%2F3 mph is H's walking speed
:
:
Check solution by finding the time of each
8/5.33 = 1.5 hr
5/3.33 = 1.5 hr; confirms our solution