SOLUTION: On her camping trip Li spent as much time hiking as she did rafting. She traveled 2.5 mph when she was rafting and 3mph when she was hiking. If she went 3 miles more hiking than sh

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Question 280471: On her camping trip Li spent as much time hiking as she did rafting. She traveled 2.5 mph when she was rafting and 3mph when she was hiking. If she went 3 miles more hiking than she did rafting, how far did she hike? Thank you.
Found 2 solutions by josmiceli, scott8148:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let her time for hiking in hours = t
and also her time for rafting = t
Let distance hiking in miles = d%5Bh%5D
Let distance rafting in miles = d%5Br%5D
-----------------------------------
given:
d%5Bh%5D+=+3t
d%5Br%5D+=+2.5t
d%5Bh%5D+=+d%5Br%5D+%2B+3
---------------------
By substitution:
d%5Br%5D+%2B+3+=+3t
d%5Br%5D+=+2.5t
By substitution again:
2.5t+%2B+3+=+3t
.5t+=+3
t+=+6
And, since
d%5Bh%5D+=+3t
d%5Bh%5D+=+3%2A6
d%5Bh%5D+=+18
She hiked 18 miles

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
hiking and rafting times are the same

time equals distance divided by rate

(x - 3) / 2.5 = x / 3

3x - 9 = 2.5x ___ x = 18