document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194429>Question 194429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is: 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 #145919 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My question is: It usually takes Eva 3 hours longer to do the monthly payroll<BR>\n" );
document.write( " than it takes Cindy. They start working on it together at 9:00 AM and at 5:00<BR>\n" );
document.write( " PM they have 90% of it done. If Eva took s 2 hour lunch break while Cindy had <BR>\n" );
document.write( "none, then how much longer will it take for them to finish the payroll working together?<BR>\n" );
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document.write( "Let t = C's time working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+3) = E's time working alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Working time to complete 90%: 9 Am to 5 Pm = 8 hrs<BR>\n" );
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document.write( "A shared work equation to complete 90% of the job:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ft ALIGN=MIDDLE  ALT=\"8%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28%28t%2B3%29%29 ALIGN=MIDDLE  ALT=\"8%2F%28%28t%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .9(1)<BR>\n" );
document.write( "Multiply equation by t(t+3), results:<BR>\n" );
document.write( "8(t+3) + 8t = .9t(t+3)<BR>\n" );
document.write( "8t + 24 + 8t = .9t^2 + 2.7t<BR>\n" );
document.write( "16t + 24 = .9t^2 + 2.7t<BR>\n" );
document.write( "arrange as a quadratic equation<BR>\n" );
document.write( ".9t^2 + 2.7t - 16t - 24 = 0<BR>\n" );
document.write( ".9t^2 -13.3t - 24 = 0<BR>\n" );
document.write( "Using the quadratic formula a-.9; b=-13.3; c=-24<BR>\n" );
document.write( "The positive solution ~ 16.4 hrs is C's time alone<BR>\n" );
document.write( "then; 19.4 hrs = E's time alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "then it says,\"If Eva took s 2 hour lunch break while Cindy had none,<BR>\n" );
document.write( " then how much longer will it take for them to finish the payroll working together?\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = how much longer it will take to complete the job<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "x+8 = C,s time on the job<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x+6 = E's time because of a 2 hr lunch break<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%2F16.4 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%2F16.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%2F19.4 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%2F19.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by (16.4*19.4), results<BR>\n" );
document.write( "19.4(x+8) + 16.4(x+6) = 16.4 * 19.4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "19.4x + 155.2 + 16.4x + 98.4 = 318.16<BR>\n" );
document.write( ":<BR>\n" );
document.write( "35.8x + 253.6 = 318.16<BR>\n" );
document.write( ":<BR>\n" );
document.write( "35.8x = 318.16 - 253.6<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64.56%2F35.8 ALIGN=MIDDLE  ALT=\"64.56%2F35.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1.8 hrs to finish the job </SPAN>\n" );
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