document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955016>Question 955016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three men A,B and C can complete a job in 8,12,16 days respectively. A , B can work together for 3 days. then B leaves and C joins.in how many days ,can A and C  finish the work?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583332 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it will take A and C another 2 days to finish the job.\r<BR>\n" );
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document.write( "here's why:\r<BR>\n" );
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document.write( "A takes 8 days.<BR>\n" );
document.write( "B takes 12 days.<BR>\n" );
document.write( "C takes 16 days.\r<BR>\n" );
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document.write( "from that, you get:\r<BR>\n" );
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document.write( "A can do 1/8 of the job in 1 day.<BR>\n" );
document.write( "B can do 1/12 of the job in 1 day.<BR>\n" );
document.write( "C can do 1/16 of the job in 1 day.\r<BR>\n" );
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document.write( "A and B work together for 3 days.\r<BR>\n" );
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document.write( "rate * time = quantity<BR>\n" );
document.write( "rate = combined rate of A and B.<BR>\n" );
document.write( "quantity = 1 job.<BR>\n" );
document.write( "when Q = 1, the job is done.\r<BR>\n" );
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document.write( "formula becomes (1/8 + 1/12) * 3 = Q\r<BR>\n" );
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document.write( "least common denominator of 8 and 12 is 24.\r<BR>\n" );
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document.write( "formula becomes (3/24 + 2/24) * 3 = Q\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "5/24 * 3 = Q\r<BR>\n" );
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document.write( "solve for Q to get Q = 15/24\r<BR>\n" );
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document.write( "A and B working together finish 15/24 of the job in 3 days.\r<BR>\n" );
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document.write( "that leaves 9/24 of the job to be done because 15/24 + 9/24 = 24/24 = 1.\r<BR>\n" );
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document.write( "A and C work together to finish 9/24 of the job.\r<BR>\n" );
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document.write( "since the rate for A is 1/8 of the job in one day and the rate for C = 1/16 of the job in one day, then formula of rate * time = quantity becomes:\r<BR>\n" );
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document.write( "(1/8 + 1/16) * t = 9/24\r<BR>\n" );
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document.write( "least common denominator of 8 and 16 and 24 is 48.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "(6/48 + 3/48) * t = 18/48\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "9/48 * t = 18 / 48\r<BR>\n" );
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document.write( "multiply both sides of the equation by 48/9 to get:\r<BR>\n" );
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document.write( "t = 18/48 * 48/9\r<BR>\n" );
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document.write( "solve for t to get t = 2\r<BR>\n" );
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document.write( "A and C working together finish 9/24 of the job in 2 days.\r<BR>\n" );
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document.write( "you have 3 days for A and B working together and 2 days for A and C working together.\r<BR>\n" );
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document.write( "from A and B working together, we got 3 * 5/24 = 15/24.\r<BR>\n" );
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document.write( "from B and C working together, we got 2 * 9/48 = 18/48 = 9/24.\r<BR>\n" );
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document.write( "15/24 + 9/24 = 24/24 = 1\r<BR>\n" );
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document.write( "when Q is equal to 1, the job is done.\r<BR>\n" );
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document.write( "solution is confirmed.\r<BR>\n" );
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document.write( "A and C take 2 days to finish the job.\r<BR>\n" );
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