document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919778>Question 919778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, Dan and Leah an mow a lawn in one hour and twelve minutes. Working alone, Leah can mow the lawn in one hours less time than it would take Dan. Find the time it takes each of them to mow the lawn working alone.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557966 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=557966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Dan's time in hrs to mow lawn<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1+ ALIGN=MIDDLE  ALT=\"+t+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Leah's time in hrs to mow lawn<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+ ALIGN=MIDDLE  ALT=\"+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F60+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+12%2F60+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Add their rates of working to get<BR>\n" );
document.write( "their rate working together<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%28%28+t-1+%29%29+=+1%2F%28%286%2F5%29%29+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28%28+t-1+%29%29+=+1%2F%28%286%2F5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28%28+t-1+%29%29+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28%28+t-1+%29%29+=+5%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=+6t%2A%28+t-1+%29+ ALIGN=MIDDLE  ALT=\"+6t%2A%28+t-1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+t-1+%29+%2B+6t+=+5t%2A%28+t-1+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+t-1+%29+%2B+6t+=+5t%2A%28+t-1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+-+6+%2B+6t+=5t%5E2+-+5t+ ALIGN=MIDDLE  ALT=\"+6t+-+6+%2B+6t+=5t%5E2+-+5t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t%5E2+-+17t+%2B+6+=+0+ ALIGN=MIDDLE  ALT=\"+5t%5E2+-+17t+%2B+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+5+ ALIGN=MIDDLE  ALT=\"+a+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-17+ ALIGN=MIDDLE  ALT=\"+b+=+-17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+6+ ALIGN=MIDDLE  ALT=\"+c+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-%28-17%29+%2B-+sqrt%28+%28-17%29%5E2+-+4%2A5%2A6+%29%29+%2F+%282%2A5%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-17%29+%2B-+sqrt%28+%28-17%29%5E2+-+4%2A5%2A6+%29%29+%2F+%282%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+17+%2B-+sqrt%28+289+-+120+%29%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+t+=+%28+17+%2B-+sqrt%28+289+-+120+%29%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+17+%2B-+sqrt%28+169+%29%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+t+=+%28+17+%2B-+sqrt%28+169+%29%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+17+%2B+13+%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+t+=+%28+17+%2B+13+%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+30%2F10+ ALIGN=MIDDLE  ALT=\"+t+=+30%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3+ ALIGN=MIDDLE  ALT=\"+t+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1+=+2+ ALIGN=MIDDLE  ALT=\"+t+-+1+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Dan's time is 3 hrs to mow lawn<BR>\n" );
document.write( "Leah's time is 2 hrs to mow lawn<BR>\n" );
document.write( "------------------<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%28+t-1+%29%29+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28%28+t-1+%29%29+=+5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+1%2F2+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+1%2F2+=+5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F6+%2B+3%2F6+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+2%2F6+%2B+3%2F6+=+5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F6+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+5%2F6+=+5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );