document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145794>Question 1145794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B and C can do a piece of work in 10 days. A and B can do it in 12 days, and A and C in 20 days. How many days would it take each to do the work place? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767052 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate of work for A = 1/A job per day<BR>\n" );
document.write( "Rate of work for B = 1/B job per day<BR>\n" );
document.write( "Rate of work for C = 1/C job per day<BR>\n" );
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document.write( "Rate of work for A, B, and C working together = 1/A + 1/B + 1/C = 1/10<BR>\n" );
document.write( "Rate of work for A and B working together = 1/A + 1/B = 1/12<BR>\n" );
document.write( "Rate of work for A and C working together = 1/A + 1/C = 1/20<BR>\n" );
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document.write( "1/A + 1/C = 1/20<BR>\n" );
document.write( "1/C = 1/20 - 1/A<BR>\n" );
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document.write( "1/A + 1/B = 1/12<BR>\n" );
document.write( "1/B = 1/12 - 1/A<BR>\n" );
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document.write( "1/A + 1/B + 1/C = 1/10<BR>\n" );
document.write( "1/A = 1/10 - 1/C - 1/B <BR>\n" );
document.write( "1/A = 1/10 - (1/20 - 1/A) - (1/12 - 1/A) <BR>\n" );
document.write( "1/A = 1/10 - 1/20 + 1/A - 1/12 + 1/A<BR>\n" );
document.write( "1/A = -1/30 + 2/A<BR>\n" );
document.write( "-1/A = -1/30<BR>\n" );
document.write( "1/A = 1/30<BR>\n" );
document.write( "A = 30<BR>\n" );
document.write( "<b>It takes 'A' 30 days to do the job alone.</b><BR>\n" );
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document.write( "1/A + 1/B = 1/12<BR>\n" );
document.write( "1/30 + 1/B = 1/12<BR>\n" );
document.write( "1/B = 1/12 - 1/30<BR>\n" );
document.write( "1/B = 1/20<BR>\n" );
document.write( "B = 20<BR>\n" );
document.write( "<b>It takes 'B' 20 days to do the job alone.</b><BR>\n" );
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document.write( "1/A + 1/C = 1/20<BR>\n" );
document.write( "1/30 + 1/C = 1/20<BR>\n" );
document.write( "1/C = 1/20 - 1/30<BR>\n" );
document.write( "1/C = 1/60<BR>\n" );
document.write( "C = 60<BR>\n" );
document.write( "<b>It takes 'C' 60 days to do the job alone.</b><BR>\n" );
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