document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140876>Question 140876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A,B,and C can finish a job in six days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102534 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=102534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A,B,and C can finish a job in six days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( "write 3 equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FA ALIGN=MIDDLE  ALT=\"6%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FC ALIGN=MIDDLE  ALT=\"6%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2FB ALIGN=MIDDLE  ALT=\"9%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2FC ALIGN=MIDDLE  ALT=\"9%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FA ALIGN=MIDDLE  ALT=\"8%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2FC ALIGN=MIDDLE  ALT=\"8%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination: mult the eq1 by 3, and eq2 by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FA ALIGN=MIDDLE  ALT=\"18%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FB ALIGN=MIDDLE  ALT=\"18%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FC ALIGN=MIDDLE  ALT=\"18%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2FA ALIGN=MIDDLE  ALT=\"0%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FB ALIGN=MIDDLE  ALT=\"18%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FC ALIGN=MIDDLE  ALT=\"18%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "----------------------------------------- Subtraction eliminates B & C, Find A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2FA ALIGN=MIDDLE  ALT=\"18%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "A = 18 days by himself<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination: mult the eq1 by 4, and eq3 by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FA ALIGN=MIDDLE  ALT=\"24%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FB ALIGN=MIDDLE  ALT=\"24%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FC ALIGN=MIDDLE  ALT=\"24%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FA ALIGN=MIDDLE  ALT=\"24%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2FB ALIGN=MIDDLE  ALT=\"0%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FC ALIGN=MIDDLE  ALT=\"24%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "----------------------------------------- Subtraction eliminates A & C, Find B<BR>\n" );
document.write( "24/B = 1<BR>\n" );
document.write( "B = 24 days by himself<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use eq2, substitute 24 for B, find C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F24 ALIGN=MIDDLE  ALT=\"9%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2FC ALIGN=MIDDLE  ALT=\"9%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 24C<BR>\n" );
document.write( "9C + 24(9) = 24C<BR>\n" );
document.write( "216 = 24C - 9C<BR>\n" );
document.write( "216 = 15C<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=216%2F15 ALIGN=MIDDLE  ALT=\"216%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 14.4 days by himself <BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solutions in eq1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F18 ALIGN=MIDDLE  ALT=\"6%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24 ALIGN=MIDDLE  ALT=\"6%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F14.4 ALIGN=MIDDLE  ALT=\"6%2F14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".333 + .250 + 4.17 = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );