SOLUTION: James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5

Question 140229: James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5 hours on uphill terrain. What is the rate of his speed on level ground?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5 hours on uphill terrain. What is the rate of his speed on level ground?
:
Let s = walking speed on level ground
then
(s-3) = speed uphill
:
Write a distance equation Dist = time * speed
2s + 5(s-3) = 32
:
2s + 5s - 15 = 32
:
7s = 32 + 15
:
7s = 47
s =
s = 6.714 mph on level ground
:
:
Check solution: speed uphill = 3.714:
2(6.714) + 5(3.714) =
13.43 + 18.57 = 32 mi
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