SOLUTION: 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 pl

Question 669925: 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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
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