document.write( "Question 1013187: kristen and katie take a hike on a mountain trail and return on that same trail to the campground from which they started. If they were gone six hours and their average rates were 4mph out and 2mph back, how far along the trail did they hike? \n" ); document.write( "

Algebra.Com's Answer #629409 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the one-way distance of the trail
\n" ); document.write( "Let $\"+t+\"$ = time in hours for the 1st one-way trip
\n" ); document.write( " $\"+6+-+t+\"$ = time in hours for the 2nd one-way trip
\n" ); document.write( "--------------------------
\n" ); document.write( "Equation for the 1st trip:
\n" ); document.write( "(1) $\"+d+=+4t+\"$
\n" ); document.write( "Equation for the 2nd trip:
\n" ); document.write( "(2) $\"+d+=+2%2A%28+6+-+t+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+4t+=+2%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+4t+=+12+-+2t+\"$
\n" ); document.write( "(2) $\"+6t+=+12+\"$
\n" ); document.write( "(2) $\"+t+=+2+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+d+=+4t+\"$
\n" ); document.write( "(1) $\"+d+=+4%2A2+\"$
\n" ); document.write( "(1) $\"+d+=+8+\"$
\n" ); document.write( "The hiked 8 miles in and 8 miles out
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+2%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+d+=+2%2A%28+6+-+2+%29+\"$
\n" ); document.write( "(2) $\"+d+=+2%2A4+\"$
\n" ); document.write( "(2) $\"+d+=+8+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );