<PRE><B>Question 617499</B>
Two joggers set out at the same time from their homes 30 miles apart.
 They agree to meet at a point somewhere in between in two and a half hours.
 If the rate of one is 2 mph faster than the rate of the other, find the rate of each
:
let r = rate of the slower jogger
then
(r+2) = rate of the faster
:
Write a distance equation, dist = time * rate
2.5r + 2.5(r+2) = 30
2.5r + 2.5r + 5 = 30
5r = 30 - 5
5r = 25
r = 25/5
r = 5 mph is the slower jogger
and obviously
7 mph is the faster jogger
:
:
:
Check the total distance, to confirm our solutions
2.5(5) + 2.5(7) =
12.5 + 17.5 = 30</PRE>