document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196079>Question 196079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shelly can cut a lawn with a riding mower in 5 hours less time than it takes William to cut the lawn with a push mower.  If they can cut the lawn in 5 hours working together, find how long to the nearst tenth of an hour, it takes for William to cut the lawn alone.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147002 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=147002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Their rates of mowing add to get their rate<BR>\n" );
document.write( "working together<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(number of lawns mowed by Shelly)/(time it takes Shelly to mow them) plus<BR>\n" );
document.write( "(number of lawns mowed by William)/(time it takes William to mow them) equals<BR>\n" );
document.write( "(number of lawns mowed by Shelly and william together)/(time to mow them)<BR>\n" );
document.write( "Let Shelly's time to mow 1 lawn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Then William's time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+5 ALIGN=MIDDLE  ALT=\"t+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Time mowing together = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%2F%28t%2B5%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%2F%28t%2B5%29+=+1%2F5\"   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=5t%2A%28t+%2B+5%29 ALIGN=MIDDLE  ALT=\"5t%2A%28t+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%28t+%2B+5%29+%2B+5t+=+t%2A%28t+%2B+5%29 ALIGN=MIDDLE  ALT=\"5%2A%28t+%2B+5%29+%2B+5t+=+t%2A%28t+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t+%2B+25+%2B+5t+=+t%5E2+%2B+5t ALIGN=MIDDLE  ALT=\"5t+%2B+25+%2B+5t+=+t%5E2+%2B+5t\"   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+-+5t+=+25 ALIGN=MIDDLE  ALT=\"t%5E2+-+5t+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve by completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2+-+5t+%2B+%285%2F2%29%5E2+=+25+%2B+%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"t%5E2+-+5t+%2B+%285%2F2%29%5E2+=+25+%2B+%285%2F2%29%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%5E2+-+5t+%2B+25%2F4+=+100%2F4+%2B+25%2F4 ALIGN=MIDDLE  ALT=\"t%5E2+-+5t+%2B+25%2F4+=+100%2F4+%2B+25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t+-+5%2F2%29%5E2+=+125%2F4 ALIGN=MIDDLE  ALT=\"%28t+-+5%2F2%29%5E2+=+125%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+-+5%2F2+=+5%2Asqrt%285%29%2F2 ALIGN=MIDDLE  ALT=\"t+-+5%2F2+=+5%2Asqrt%285%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+5%2A%281+%2B+sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"t+=+5%2A%281+%2B+sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+8.090 ALIGN=MIDDLE  ALT=\"t+=+8.090\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+5+=+13.090 ALIGN=MIDDLE  ALT=\"t+%2B+5+=+13.090\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs <BR>\n" );
document.write( "William's time mowing alone is 13.1 hrs<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%2F%28t%2B5%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%2F%28t%2B5%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8.09+%2B+1%2F13.09+=+1%2F5 ALIGN=MIDDLE  ALT=\"1%2F8.09+%2B+1%2F13.09+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1236+%2B+.0764+=+.2 ALIGN=MIDDLE  ALT=\".1236+%2B+.0764+=+.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.199994+=+.2 ALIGN=MIDDLE  ALT=\".199994+=+.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > close enough </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );