document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880397>Question 880397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A can do a piece of work in 9 days, B in 12 days and C in 18 days. A & B work for 3 days after which C replaces B. How long must A & C work together to finish 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 #531482 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=531482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A can do a piece of work in 9 days, B in 12 days and C in 18 days.<BR>\n" );
document.write( " A & B work for 3 days after which C replaces B.<BR>\n" );
document.write( " How long must A & C work together to finish the job?<BR>\n" );
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document.write( "let t = days A & C must work together to finish the job<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B3%29%29%2F9 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F18 ALIGN=MIDDLE  ALT=\"t%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equatin by 36, cancel the denominators, you then have:<BR>\n" );
document.write( "4(t+3) + 3(3) + 2t = 36<BR>\n" );
document.write( "4t + 12 + 9 + 2t = 36<BR>\n" );
document.write( "6t + 21 = 36<BR>\n" );
document.write( "6t = 36 - 21<BR>\n" );
document.write( "6t = 15<BR>\n" );
document.write( "t = 15/6<BR>\n" );
document.write( "t = 2.5 days A & C working together<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );