<PRE><B>Question 669925</B>
Carol has 8 hours to spend on a hike up a mountain and back again.
 She can walk up the trail at an average of 2 mph and can walk down at an average of 3 mph.
 How long should she plan to spend on the uphill part of the hike?
:
let t = time spent walking up-hill
then
(8-t) = time walking down
;
Write a distance equation; dist = speed * time. (distance up and down are equal)
2t = 3(8-t)
2t = 24 - 3t
2t + 3t = 24
5t = 24
t = 24/5
t = 4.8 hrs walking up
:
:
Confirm this by finding the distances
2(4.8) = 9.6 mi 
3(8-4.8) = 9.6 mi</PRE>