document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600379>Question 600379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, two sisters can do the yard work at their house in 48 minutes. When the older girl does it all herself, she can complete the job in 20 minutes less time than it takes the younger girl working all alone. How long does it take the older girl to do the yard work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379303 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=379303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, their rate of working is:<BR>\n" );
document.write( "( 1 yard ) / ( 48 min )<BR>\n" );
document.write( "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;\" > = time in minutes for <BR>\n" );
document.write( "younger girl to finish yard work<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "( 1 yard ) / ( t min ) = younger girls rate<BR>\n" );
document.write( "of working<BR>\n" );
document.write( "( 1 yard ) / ( t - 20 min ) = older girl's rate<BR>\n" );
document.write( "of working<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Add their individual rates of working to get<BR>\n" );
document.write( "their rate working 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%2F48+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+20+%29+=+1%2F48+\"   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%2A48+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t+-+20+%29%2A48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2A%28+t+-+20+%29+%2B+48t+=+t%2A%28+t+-+20+%29+ ALIGN=MIDDLE  ALT=\"+48%2A%28+t+-+20+%29+%2B+48t+=+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=+48t+-+960+%2B+48t+=+t%5E2+-+20t+ ALIGN=MIDDLE  ALT=\"+48t+-+960+%2B+48t+=+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+-+20t+-+96t+%2B+960+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+20t+-+96t+%2B+960+=+0+\"   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+-+116t+%2B+960+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+116t+%2B+960+=+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+=+-116+ ALIGN=MIDDLE  ALT=\"+b+=+-116+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+960+ ALIGN=MIDDLE  ALT=\"+c+=+960+\"   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-%28-116%29+%2B-+sqrt%28+%28-116%29%5E2+-+4%2A1%2A960+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-116%29+%2B-+sqrt%28+%28-116%29%5E2+-+4%2A1%2A960+%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+116+%2B-+sqrt%28+13456+-+3840+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+116+%2B-+sqrt%28+13456+-+3840+%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+116+%2B-+sqrt%28+9616+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+116+%2B-+sqrt%28+9616+%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+116+%2B-+98.0612%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+116+%2B-+98.0612%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+=+17.9388+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+17.9388+%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+=+8.9694+ ALIGN=MIDDLE  ALT=\"+t+=+8.9694+\"   DISABLED_style= \"max-width:90%; height:auto;\" > too fast- faster than both working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+116+%2B+98.0612%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+116+%2B+98.0612%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+=+107.0306+ ALIGN=MIDDLE  ALT=\"+t+=+107.0306+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+20+=+87.0306+ ALIGN=MIDDLE  ALT=\"+t+-+20+=+87.0306+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+87.0306%2F60+=+1.45+ ALIGN=MIDDLE  ALT=\"+87.0306%2F60+=+1.45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.45%2A60+=+27+ ALIGN=MIDDLE  ALT=\"+.45%2A60+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It takes the older girl 1 hr and 27 min working alone<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%2F48+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+-+20+%29+=+1%2F48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F107.0306+%2B+1%2F87.0306+=+1%2F48+ ALIGN=MIDDLE  ALT=\"+1%2F107.0306+%2B+1%2F87.0306+=+1%2F48+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.009343+%2B+.01149+=+.02083+ ALIGN=MIDDLE  ALT=\"+.009343+%2B+.01149+=+.02083+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.02083+=+.02083+ ALIGN=MIDDLE  ALT=\"+.02083+=+.02083+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );