SOLUTION: Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 31 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Fi

Question 455291: Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 31 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain.
Yesterday, he hiked 31 miles, spending 2 hours on level ground and 5 hours on uphill terrain.
Find his average speed on level ground.
:
Let s = his speed on level ground
then
(s-3) = his speed going uphill
:
Write a distance equation: Dist = speed * time
:
lev dist + uphill dist = 31 miles
2s + 5(s-3) = 31
2s + 5s - 15 = 31
7s = 31 + 15
7s = 46
s =
s ~ 6.57 mph on level ground
:
:
Check this by finding the distances
2(6.57) = 13.14 mi
5(3.57) = 17.85 mi
--------------------
Tot dist: 30.99 ~ 31 mi
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