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.
:
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/((s+2))}}} = {{{5/s}}}
Cross multiply
8s = 5(s+2)
:
8s = 5s + 10
:
8s - 5s = 10
:
3s = 10
:
s = {{{10/3}}}
s = 3{{{1/3}}} mph is J's walking speed
then
5{{{1/3}}} 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