document.write( "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?
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Algebra.Com's Answer #600924 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = one-way distance into the woods in km
\n" ); document.write( "Let $\"+t+\"$ = time in hrs to hike into the woods
\n" ); document.write( " $\"+3.5+-+t+\"$ = time in hrs to hike out of the woods
\n" ); document.write( "-----------------
\n" ); document.write( "Hiking into the woods:
\n" ); document.write( "(1) $\"+d+=+4t+\"$
\n" ); document.write( "Hiking out of the woods:
\n" ); document.write( "(2) $\"+d+=+3%2A%28+3.5+-+t+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+4t+=+3%2A%28+3.5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+4t+=+10.5+-+3t+\"$
\n" ); document.write( "(2) $\"+7t+=+10.5+\"$
\n" ); document.write( "(2) $\"+t+=+1.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+4t+\"$
\n" ); document.write( "(1) $\"+d+=+4%2A1.5+\"$
\n" ); document.write( "(1) $\"+d+=+6+\"$
\n" ); document.write( "You hiked 6 km into the woods
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+3%2A%28+3.5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+d+=+3%2A%28+3.5+-+1.5+%29+\"$
\n" ); document.write( "(2) $\"+d+=+3%2A2+\"$
\n" ); document.write( "(2) $\"+d+=+6+\"$ km
\n" ); document.write( "OK
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