document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739360>Question 739360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amy can mow the lawn by herself in 2 less hours than it takes Bob to mow the lawn by himself.  When they work together, it takes them only 6 hours to mow the lawn.  How long would it take 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 #451094 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=451094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Bob's rate of mowing = ( 1 lawn mowed ) / ( t hrs )<BR>\n" );
document.write( "Amy's rate is ( 1 lawn mowed ) / ( t - 2 hrs )<BR>\n" );
document.write( "Add their rates of mowing to get their<BR>\n" );
document.write( "rate working together, which is:<BR>\n" );
document.write( "( 1 lawn mowed ) / ( 6 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%28+t+-+2+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+2+%29+=+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=+t%2A%28+t-2+%29%2A6+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t-2+%29%2A6+\"   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-2+%29+%2B+6t+=+t%2A%28+t-2+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+t-2+%29+%2B+6t+=+t%2A%28+t-2+%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+-+12+%2B+6t+=+t%5E2+-+2t+ ALIGN=MIDDLE  ALT=\"+6t+-+12+%2B+6t+=+t%5E2+-+2t+\"   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+-+14t+%2B+12+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+14t+%2B+12+=+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+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-14+ ALIGN=MIDDLE  ALT=\"+b+=+-14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+12+ ALIGN=MIDDLE  ALT=\"+c+=+12+\"   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-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2+-+4%2A1%2A12+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2+-+4%2A1%2A12+%29%29+%2F+%282%2A1%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+14+%2B-+sqrt%28+196+-+48+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+14+%2B-+sqrt%28+196+-+48+%29%29+%2F+2+\"   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+14+%2B-+sqrt%28+148+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+14+%2B-+sqrt%28+148+%29%29+%2F+2+\"   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+14+%2B-+sqrt%28+4%2A37+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+14+%2B-+sqrt%28+4%2A37+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+7+%2B-+sqrt%28+37+%29+ ALIGN=MIDDLE  ALT=\"+t+=+7+%2B-+sqrt%28+37+%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+=+7+%2B+6.0828+ ALIGN=MIDDLE  ALT=\"+t+=+7+%2B+6.0828+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+13.0828+ ALIGN=MIDDLE  ALT=\"+t+=+13.0828+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-2+=+11.0828+ ALIGN=MIDDLE  ALT=\"+t+-2+=+11.0828+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0828%2A60+=+5+ ALIGN=MIDDLE  ALT=\"+.0828%2A60+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( approximately )<BR>\n" );
document.write( "Bob, working alone mows the lawn in 13 hrs, 5 min<BR>\n" );
document.write( "Amy, working alone mows the lawn in 11 hrs 5 min<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+t+-+2+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+2+%29+=+1%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%2F13.0828+%2B+1%2F11.0828+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F13.0828+%2B+1%2F11.0828+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.07644+%2B+.09023+=+.16667+ ALIGN=MIDDLE  ALT=\"+.07644+%2B+.09023+=+.16667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.16667+=+.16667+ ALIGN=MIDDLE  ALT=\"+.16667+=+.16667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );