document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210948>Question 210948</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 #159356 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159356\">put this solution on YOUR website!</A><BR><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?<BR>\n" );
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document.write( "Cindy's rate is 1/x  job/hr<BR>\n" );
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document.write( "Eva's rate is 1/(x+3) job/hr<BR>\n" );
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document.write( "From 9am to 5pm they have worked 8 hrs<BR>\n" );
document.write( "In that time they have accomplished<BR>\n" );
document.write( "8*Cindy's rate + 6*Eva's rate = 90% of the job<BR>\n" );
document.write( "8(1/x)+6 = 0.90 job<BR>\n" );
document.write( "I get x = 24.7<BR>\n" );
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document.write( "Solve that for \"x\"; then you will know Cindy<BR>\n" );
document.write( "and Eva's rates which are 1/x = 1/24.7 and 1/27.7).<BR>\n" );
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document.write( "To get the time remaining for them to finish<BR>\n" );
document.write( "the job.<BR>\n" );
document.write( "k(1/24.7 + 1/27.7) = 0.10 of the job<BR>\n" );
document.write( "k(0.0766) = 0.10<BR>\n" );
document.write( "k = 1.306 hrs.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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