document.write( "Question 190239: Joe Fleet jogs at 8 mph. Ron hikes at 4 mph. They start from opposite ends of a 44 mile hiking trail at the same. Time. How far does each go if Ron has 15 minutes to set up camp before Joe arrives? \n" ); document.write( "

Algebra.Com's Answer #142763 by josmiceli(19441) $\"\"$ $\"About$

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For Joe:
\n" ); document.write( "(1) $\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"$
\n" ); document.write( "For Ron:
\n" ); document.write( "(2) $\"d%5Br%5D+=+r%5Br%5D%2At%5Br%5D\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"r%5Bj%5D+=+8\"$ mi/hr
\n" ); document.write( " $\"r%5Br%5D+=+4\"$ mi/hr
\n" ); document.write( " $\"d%5Bj%5D+%2B+d%5Br%5D+=+44\"$ mi
\n" ); document.write( " $\"t%5Bj%5D+=+t%5Br%5D+%2B+1%2F4\"$ hr
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"d%5Bj%5D+=+8t%5Bj%5D\"$
\n" ); document.write( "(2) $\"d%5Br%5D+=+4t%5Br%5D\"$
\n" ); document.write( "and
\n" ); document.write( " $\"d%5Bj%5D+%2B+d%5Br%5D+=+44\"$
\n" ); document.write( " $\"d%5Bj%5D+=+44+-+d%5Br%5D\"$
\n" ); document.write( "therefore
\n" ); document.write( "(1) $\"44+-+d%5Br%5D+=+8t%5Bj%5D\"$
\n" ); document.write( "(2) $\"d%5Br%5D+=+4t%5Br%5D\"$
\n" ); document.write( "also
\n" ); document.write( " $\"t%5Bj%5D+=+t%5Br%5D+%2B+1%2F4\"$
\n" ); document.write( "therefore
\n" ); document.write( "(1) $\"44+-+d%5Br%5D+=+8%2A%28t%5Br%5D+%2B+1%2F4%29\"$
\n" ); document.write( "(2) $\"d%5Br%5D+=+4t%5Br%5D\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"44+-+d%5Br%5D+=+8t%5Br%5D+%2B+2\"$
\n" ); document.write( "(1) $\"8t%5Br%5D+%2B+d%5Br%5D+=+42\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"4t%5Br%5D+-+d%5Br%5D+=+0\"$
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( " $\"12t%5Br%5D+=+42\"$
\n" ); document.write( " $\"t%5Br%5D+=+3.5\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"d%5Br%5D+=+4t%5Br%5D\"$
\n" ); document.write( " $\"d%5Br%5D+=+4%2A3.5\"$
\n" ); document.write( " $\"d%5Br%5D+=+14\"$ mi
\n" ); document.write( "and also
\n" ); document.write( " $\"d%5Bj%5D+%2B+d%5Br%5D+=+44\"$
\n" ); document.write( " $\"d%5Bj%5D+%2B+14+=+44\"$
\n" ); document.write( " $\"d%5Bj%5D+=+30\"$ mi
\n" ); document.write( "Ron went 14 mi and Joe went 30 mi
\n" ); document.write( "check answer:
\n" ); document.write( " $\"t%5Bj%5D+=+t%5Br%5D+%2B+1%2F4\"$
\n" ); document.write( " $\"t%5Bj%5D+=+3.5+%2B+.25\"$
\n" ); document.write( " $\"t%5Bj%5D+=+3.75\"$
\n" ); document.write( "(1) $\"d%5Bj%5D+=+8t%5Bj%5D\"$
\n" ); document.write( "(1) $\"30+=+8%2A3.75\"$
\n" ); document.write( "(1) $\"30+=+30\"$
\n" ); document.write( "OK
\n" ); document.write( "and
\n" ); document.write( "(2) $\"d%5Br%5D+=+4t%5Br%5D\"$
\n" ); document.write( "(2) $\"14+=+4%2A3.5\"$
\n" ); document.write( "(2) $\"14+=+14\"$
\n" ); document.write( "OK \n" ); document.write( "

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