SOLUTION: On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5 miles per hour when she was rafting and 3 miles per hour when she was hiking. If she went 3 m

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Question 814438: On her camping trip, Li spent as much time hiking as she did rafting. She traveled 2.5 miles per hour when she was rafting and 3 miles per hour when she was hiking. If she went 3 miles further hiking than rafting, how far did she hike?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
s = d / t
t = d / s
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r / 2.5 = h / 3
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h = r + 3
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2.5 = 5/2
r / 2.5 = h / 3
r / (5/2) = (r + 3) / 3
(2/5)r = (1/3)r + 1
(2/5)r - (1/3)r = 1
(6/15)r - (5/15)r = 1
(1/15)r = 1
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r = 15 miles
h = 18 miles
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