document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384732>Question 384732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B, and C can finish a job in 6 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 #275033 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=275033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we must solve for 3 unknowns, we must come up with 3 separate equations.\r<BR>\n" );
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document.write( "let x = number of hours A can complete the job alone.<BR>\n" );
document.write( "let y = number of hours B can complete the job alone.<BR>\n" );
document.write( "let z = number of hours C can complete the job alone.\r<BR>\n" );
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document.write( "A's rate =1/x      <BR>\n" );
document.write( "B's rate = 1/y<BR>\n" );
document.write( "C's rate = 1/z\r<BR>\n" );
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document.write( "sum of individual hourly rates = hourly rate when individuals work together\r<BR>\n" );
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document.write( "1/x + 1/y +1/z =1/6<BR>\n" );
document.write( "1/y + 1/z = 1/9<BR>\n" );
document.write( "1/x +1/z = 1/8\r<BR>\n" );
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document.write( "1/y =1/9 -1/z<BR>\n" );
document.write( "1/x =1/8-1/z\r<BR>\n" );
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document.write( "1/8-1/z +1/9-1/z+1/z=1/6<BR>\n" );
document.write( "-1/z = 1/6 -1/8 -1/9 <BR>\n" );
document.write( "-1/z = 12/72 -9/72-8/72 =-5/72<BR>\n" );
document.write( "1/z = 5/72 = 1/14.4<BR>\n" );
document.write( "1/y = 8/72 -5/72 =3/72 =1/24<BR>\n" );
document.write( "1/x = 9/72 -5/72 =4/72 =1/18\r<BR>\n" );
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document.write( "ans: A can do the job working alone in 18 hours<BR>\n" );
document.write( "         B can do the job working alone in 24 hours<BR>\n" );
document.write( "        C can do the job working alone in 14.4 hours </SPAN>\n" );
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