document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909186>Question 909186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark can mow a lawn in 20 minutes less time than his sister Marie. Together they can mow the lawn in 24 minutes. How long will it take Marie to finish the mowing if she works alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551673 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Marie's rate of mowing is:<BR>\n" );
document.write( "( 1 lawn mowed ) / ( t minutes )<BR>\n" );
document.write( "Mark's rate of mowing is:<BR>\n" );
document.write( "( 1 lawn mowed ) / ( t - 20 minutes )<BR>\n" );
document.write( "Working together, their rate is:<BR>\n" );
document.write( "( 1 lawn mowed ) / ( 24 minutes )<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Add their rates of mowing to get<BR>\n" );
document.write( "their rate mowing together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-20+%29+=+1%2F24+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-20+%29+=+1%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t-20+%29%2A24+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t-20+%29%2A24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24%2A%28+t-20+%29+%2B+24t+=+t%2A%28+t-20+%29+ ALIGN=MIDDLE  ALT=\"+24%2A%28+t-20+%29+%2B+24t+=+t%2A%28+t-20+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24t+-+480+%2B+24t+=+t%5E2+-+20t+ ALIGN=MIDDLE  ALT=\"+24t+-+480+%2B+24t+=+t%5E2+-+20t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+68t+%2B+480+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+68t+%2B+480+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can complete the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+68t+%2B+%28+68%2F2+%29%5E2+=+%28+68%2F2+%29%5E2+-+480+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+68t+%2B+%28+68%2F2+%29%5E2+=+%28+68%2F2+%29%5E2+-+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+68t+%2B+1156+=+1156+-+480+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+68t+%2B+1156+=+1156+-+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+68t+%2B+1156+=+676+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+68t+%2B+1156+=+676+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+34+%29%5E2+=+26%5E2+ ALIGN=MIDDLE  ALT=\"+%28+t+-+34+%29%5E2+=+26%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+34+=+26+ ALIGN=MIDDLE  ALT=\"+t+-+34+=+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60+ ALIGN=MIDDLE  ALT=\"+t+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "another solution is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+34+=+-26+ ALIGN=MIDDLE  ALT=\"+t+-+34+=+-26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+8+ ALIGN=MIDDLE  ALT=\"+t+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can't use this solution, since that would mean Marie<BR>\n" );
document.write( "working alone could mow faster than both mowing together<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Marie, working alone, can mow the lawn in 60 min<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-20+%29+=+1%2F24+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-20+%29+=+1%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F60+%2B+1%2F%28+60-20+%29+=+1%2F24+ ALIGN=MIDDLE  ALT=\"+1%2F60+%2B+1%2F%28+60-20+%29+=+1%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F60+%2B+1%2F40+=+1%2F24+ ALIGN=MIDDLE  ALT=\"+1%2F60+%2B+1%2F40+=+1%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F15+%2B+1%2F10+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F15+%2B+1%2F10+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+ ALIGN=MIDDLE  ALT=\"+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+3+=+5+ ALIGN=MIDDLE  ALT=\"+2+%2B+3+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+5+ ALIGN=MIDDLE  ALT=\"+5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );