document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210858>Question 210858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It usually takes Eva 3 hours longer to do the monthly payroll than it takes Cindy. They start working on it together at 9.00 AM and at 5.00 PM they have 90% of it done. If Eva took s 2 hour lunch break while Cindy had none, then how much longer will it take for them to finish the payroll working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159295 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=159295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Cindt's rate) + (Eva's rate) = Rate working together<BR>\n" );
document.write( "actually they worked together for 6 of the 8 hours<BR>\n" );
document.write( "and Cindy worked 2 hours alone<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;\" >= hours it takes Cindy to finish 1 payroll<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+3 ALIGN=MIDDLE  ALT=\"t+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >= hours for Eva to finish 1 payroll<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >= fraction of payroll completed in 6 hours<BR>\n" );
document.write( "with both working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%2F%28t%2B3%29+=+p%2F6 ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%2F%28t%2B3%29+=+p%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And Cindy working alone for 2 hours:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+=+%28.9+-+p%29%2F2 ALIGN=MIDDLE  ALT=\"1%2Ft+=+%28.9+-+p%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=.9+-+p+=+2%2Ft ALIGN=MIDDLE  ALT=\".9+-+p+=+2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p+=+2%2Ft+-+.9 ALIGN=MIDDLE  ALT=\"-p+=+2%2Ft+-+.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+.9+-+2%2Ft ALIGN=MIDDLE  ALT=\"p+=+.9+-+2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%2F%28t%2B3%29+=+.9%2F6+-+2%2F%286t%29 ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%2F%28t%2B3%29+=+.9%2F6+-+2%2F%286t%29\"   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%28t%2B3%29 ALIGN=MIDDLE  ALT=\"6t%2A%28t%2B3%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%28t%2B3%29+%2B+6t+=+.15%2A6t%2A%28t%2B3%29+-+2%2A%28t%2B3%29 ALIGN=MIDDLE  ALT=\"6%2A%28t%2B3%29+%2B+6t+=+.15%2A6t%2A%28t%2B3%29+-+2%2A%28t%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%28t%2B3%29+%2B+6t+=+.15%2A6t%2A%28t%2B3%29 ALIGN=MIDDLE  ALT=\"8%2A%28t%2B3%29+%2B+6t+=+.15%2A6t%2A%28t%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8t+%2B+24+%2B+6t+=+.15%2A6t%2A%28t%2B3%29 ALIGN=MIDDLE  ALT=\"8t+%2B+24+%2B+6t+=+.15%2A6t%2A%28t%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14t+=+.9t%5E2+%2B+2.7t+-+24 ALIGN=MIDDLE  ALT=\"14t+=+.9t%5E2+%2B+2.7t+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.9t%5E2+-+11.3t+-+24+=+0 ALIGN=MIDDLE  ALT=\".9t%5E2+-+11.3t+-+24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t%5E2+-+113t+-+240+=+0 ALIGN=MIDDLE  ALT=\"9t%5E2+-+113t+-+240+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic equation<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+=+9 ALIGN=MIDDLE  ALT=\"a+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-113 ALIGN=MIDDLE  ALT=\"b+=+-113\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-240 ALIGN=MIDDLE  ALT=\"c+=+-240\"   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-%28-113%29+%2B-+sqrt%28+%28-113%29%5E2-4%2A9%2A%28-240%29+%29%29%2F%282%2A9%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-%28-113%29+%2B-+sqrt%28+%28-113%29%5E2-4%2A9%2A%28-240%29+%29%29%2F%282%2A9%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+=+%28113+%2B-+sqrt%28+12769+%2B+8640+%29%29%2F18+ ALIGN=MIDDLE  ALT=\"t+=+%28113+%2B-+sqrt%28+12769+%2B+8640+%29%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28113+%2B-+sqrt%28+21409+%29%29%2F18+ ALIGN=MIDDLE  ALT=\"t+=+%28113+%2B-+sqrt%28+21409+%29%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28113+%2B-+146.32%29%2F18+ ALIGN=MIDDLE  ALT=\"t+=+%28113+%2B-+146.32%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+14.4 ALIGN=MIDDLE  ALT=\"t+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "They have 10% of the job left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%28t%2B3%29+=+.1%2FT ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%28t%2B3%29+=+.1%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F14.4+%2B+1%2F17.4+=+.1%2FT ALIGN=MIDDLE  ALT=\"1%2F14.4+%2B+1%2F17.4+=+.1%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.0694+%2B+.0575+=+.1%2FT ALIGN=MIDDLE  ALT=\".0694+%2B+.0575+=+.1%2FT\"   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%2F.12687 ALIGN=MIDDLE  ALT=\"T+=+.1%2F.12687\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+.788 ALIGN=MIDDLE  ALT=\"T+=+.788\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "It will take them about 47.3 min to finish the job<BR>\n" );
document.write( "(Unless I goofed)<BR>\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );