document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452270>Question 452270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Connor and Matt walk a 12 mile couse as part of a fitness program. Matt walks 1 mi/hr faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long does it take Connor to complete the course?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310921 by </B><A HREF=/tutors/aboutme.mpl?userid=pedjajov><B>pedjajov(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pedjajov><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m - rate of Matt<BR>\n" );
document.write( "c - rate of Connor<BR>\n" );
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document.write( "t1- time for Matt to walk the course<BR>\n" );
document.write( "t2- time for Connor to walk the course<BR>\n" );
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document.write( "Distance passed by Matt is 12 mi    -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2At1=12 ALIGN=MIDDLE  ALT=\"m%2At1=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t1=12%2Fm ALIGN=MIDDLE  ALT=\"t1=12%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distance passed by Connor is 12 mi  -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2At2=12 ALIGN=MIDDLE  ALT=\"c%2At2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t2=12%2Fc ALIGN=MIDDLE  ALT=\"t2=12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Matt walks 1mi/h faster than Connor -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=c%2B1 ALIGN=MIDDLE  ALT=\"m=c%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Matt finishes 1 hour before Connor  -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t1=t2-1 ALIGN=MIDDLE  ALT=\"t1=t2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fm=12%2Fc+-+1 ALIGN=MIDDLE  ALT=\"12%2Fm=12%2Fc+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute m from the first equation into the second<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28c%2B1%29=12%2Fc+-+1 ALIGN=MIDDLE  ALT=\"12%2F%28c%2B1%29=12%2Fc+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, multiply whole equation by c(c+1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c=12%28c%2B1%29-c%28c%2B1%29 ALIGN=MIDDLE  ALT=\"12c=12%28c%2B1%29-c%28c%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, distribute multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c=12c%2B12-c%5E2-c ALIGN=MIDDLE  ALT=\"12c=12c%2B12-c%5E2-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, move everything to the left side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c-12c-12%2Bc%5E2%2Bc=0 ALIGN=MIDDLE  ALT=\"12c-12c-12%2Bc%5E2%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, combine <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2%2Bc-12=0 ALIGN=MIDDLE  ALT=\"c%5E2%2Bc-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is quadratic equation that can be factorized<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c-3%29%28c%2B4%29=0 ALIGN=MIDDLE  ALT=\"%28c-3%29%28c%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solutions are c=3 and c=-4<BR>\n" );
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document.write( "Only acceptable solution is positive number so rate for Connor is 3mi/h<BR>\n" );
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document.write( "Time he needs to finish the course is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t2=12%2Fc ALIGN=MIDDLE  ALT=\"t2=12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F3 ALIGN=MIDDLE  ALT=\"12%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 hours </SPAN>\n" );
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