document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147660>Question 147660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> first let me thank you all for your help. my problem is     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? again thank very much for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108030 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=108030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first let me thank you all for your help. my problem is     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?<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Let the alone time for each be a, b, and c<BR>\n" );
document.write( "Then their respective rates are 1/a, 1/b, and 1/c<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "1/a + 1/b + 1/c = 1/6<BR>\n" );
document.write( "0   + 1/b + 1/c = 1/9<BR>\n" );
document.write( "1/a + 0   + 1/c = 1/8<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Solve the system by any means to get :<BR>\n" );
document.write( "1/a = 1/18<BR>\n" );
document.write( "1/b = 1/24<BR>\n" );
document.write( "1/c = 5/72<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "a would take 18 days<BR>\n" );
document.write( "b would take 24 days<BR>\n" );
document.write( "c would take 72/5 = 14 2/5 days<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );