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
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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?
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