document.write( "Question 903537: Two runners live 33 miles apart. Jim runs 8 miles per hour, and Joan runs 6 miles per hour. If Joan starts running toward Jim’s house and Jim starts running toward Joan’s house 2 hours later, how long will Jim have been running when they meet? \n" ); document.write( "
Algebra.Com's Answer #548120 by josmiceli(19441)\"\" \"About 
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Find Joan's head start
\n" ); document.write( "Let \"+d%5B1%5D+\" = Joan's head start
\n" ); document.write( "\"+d%5B1%5D+=+6%2A2+\"
\n" ); document.write( "\"+d%5B1%5D+=+12+\"
\n" ); document.write( "---------------
\n" ); document.write( "Start a stop watch when Jim starts running
\n" ); document.write( "Let \"+d+\" = distance Jim travels until they meet
\n" ); document.write( "Let \"+t+\" = time in hrs until they meet
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Jim's equation:
\n" ); document.write( "(1) \"+d+=+8t+\"
\n" ); document.write( "Joan's equation:
\n" ); document.write( "(2) \"+33+-+12+-+d+=+6t+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+33+-+12+-+8t+=+6t+\"
\n" ); document.write( "(2) \"+14t+=+21+\"
\n" ); document.write( "(2) \"+t+=+3%2F2+\"
\n" ); document.write( "Jim runs for 1 hr and 30 min until they meet
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+8%2A%283%2F2%29+\"
\n" ); document.write( "(1) \"+d+=+12+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+33+-+12+-+d+=+6%2A%283%2F2%29+\"
\n" ); document.write( "(2) \"+21+-+d+=+9+\"
\n" ); document.write( "(2) \"+d+=+12+\"
\n" ); document.write( "OK\r
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