document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370682>Question 370682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and Bcan do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work seprately<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264255 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=264255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A and B can do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work separately<BR>\n" );
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document.write( "Rate Equations:<BR>\n" );
document.write( "1/A + 1/B + 0 = 1/12<BR>\n" );
document.write( "0 + 1/B + 1/C = 1/10<BR>\n" );
document.write( "1/A + 0 + 1/C = 1/15<BR>\n" );
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document.write( "Using a matrix method I get:<BR>\n" );
document.write( "1/A = 1/40<BR>\n" );
document.write( "1/B = 7/120<BR>\n" );
document.write( "1/C = 1/24<BR>\n" );
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document.write( "Days to do the job alone:<BR>\n" );
document.write( "A = 40 days<BR>\n" );
document.write( "B = 120/7 = 17.14 days<BR>\n" );
document.write( "C = 24 days<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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