document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159721>Question 1159721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two joggers set out at the same time from their homes 84 miles apart. They agree to meet at a point somewhere in between in four hours. If the rate of one is 3mph faster than the rate of the other.\r<BR>\n" );
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document.write( "what is the rate of each ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782788 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=84mil ALIGN=MIDDLE  ALT=\"d=84mil\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4h ALIGN=MIDDLE  ALT=\"t=4h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the slower jogger in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mil%2Fh ALIGN=MIDDLE  ALT=\"mil%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+3+ ALIGN=MIDDLE  ALT=\"+s+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster jogger in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mil%2Fh ALIGN=MIDDLE  ALT=\"mil%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the slower jogger has to run until they meet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84+-+d+ ALIGN=MIDDLE  ALT=\"+84+-+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the faster jogger runs\r<BR>\n" );
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document.write( "Equation for slower jogger:\r<BR>\n" );
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document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A4+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equation for faster jogger:\r<BR>\n" );
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document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84+-+d+=+%28+s+%2B+3+%29%2A4+ ALIGN=MIDDLE  ALT=\"+84+-+d+=+%28+s+%2B+3+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute (1) into (2)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84+-+4s+=+%28+s+%2B+3+%29%2A4+ ALIGN=MIDDLE  ALT=\"+84+-+4s+=+%28+s+%2B+3+%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84+-+4s+=+4s+%2B+12+ ALIGN=MIDDLE  ALT=\"+84+-+4s+=+4s+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84-12+=+8s+ ALIGN=MIDDLE  ALT=\"+84-12+=+8s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+72+=+8s+ ALIGN=MIDDLE  ALT=\"+72+=+8s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+9 ALIGN=MIDDLE  ALT=\"+s+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+3+=+12+ ALIGN=MIDDLE  ALT=\"+s+%2B+3+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28+mil%2Fh%29 ALIGN=MIDDLE  ALT=\"9%28+mil%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the speed of the slower jogger<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28mil%2Fh%29 ALIGN=MIDDLE  ALT=\"12%28mil%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the speed of the faster jogger\r<BR>\n" );
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document.write( "then distance that slower jogger runs to meet faster jogger  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+9%2A4+=36mil ALIGN=MIDDLE  ALT=\"+d+=+9%2A4+=36mil\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+84+-+36+=+48+mil ALIGN=MIDDLE  ALT=\"+84+-+36+=+48+mil\"   DISABLED_style= \"max-width:90%; height:auto;\" >->  distance faster jogger  runs to meet slower jogger\r<BR>\n" );
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document.write( "the sum of distances is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36mil%2B48mil=84mil ALIGN=MIDDLE  ALT=\"36mil%2B48mil=84mil\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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