SOLUTION: I hiked into the woods at 4 km/h and returned by the same route at 3 km/h. IF the round trio took 3 1/2 hrs,how many km into the woods did I hike?

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Question 979631: I hiked into the woods at 4 km/h and returned by the same route at 3 km/h. IF the round trio took 3 1/2 hrs,how many km into the woods did I hike?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = one-way distance into the woods in km
Let +t+ = time in hrs to hike into the woods
+3.5+-+t+ = time in hrs to hike out of the woods
-----------------
Hiking into the woods:
(1) +d+=+4t+
Hiking out of the woods:
(2) +d+=+3%2A%28+3.5+-+t+%29+
---------------------
Substitute (1) into (2)
(2) +4t+=+3%2A%28+3.5+-+t+%29+
(2) +4t+=+10.5+-+3t+
(2) +7t+=+10.5+
(2) +t+=+1.5+
and
(1) +d+=+4t+
(1) +d+=+4%2A1.5+
(1) +d+=+6+
You hiked 6 km into the woods
check:
(2) +d+=+3%2A%28+3.5+-+t+%29+
(2) +d+=+3%2A%28+3.5+-+1.5+%29+
(2) +d+=+3%2A2+
(2) +d+=+6+ km
OK