document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609447>Question 609447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A does 3/10 of a work in 6 days .He then calls in B and they finish the work in 7 days more .How long would B take to do the work by himself?\r<BR>\n" );
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document.write( "A,B,C working together ,can do a piece of work in 18 days .A can do it alone in 72 days .After working for 6 days ,A fell ill.How long will B and C together take to finish the remaining work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383792 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=383792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A does 3/10 of a work in 6 days .He then calls in B and they finish the work in 7 days more .<BR>\n" );
document.write( "How long would B take to do the work by himself?<BR>\n" );
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document.write( "Find how long (a), it takes for A to do the job by himself <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F10 ALIGN=MIDDLE  ALT=\"3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >a = 6<BR>\n" );
document.write( "3a = 6(10)<BR>\n" );
document.write( "3a = 60<BR>\n" );
document.write( "a = 60/3<BR>\n" );
document.write( "a = 20 days, A by himself<BR>\n" );
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document.write( "Let b = B's time by himself<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( "A works a total of 13 days so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F20 ALIGN=MIDDLE  ALT=\"13%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Fb ALIGN=MIDDLE  ALT=\"7%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 20b<BR>\n" );
document.write( "13b + 20(7) = 20b<BR>\n" );
document.write( "140 = 20b - 13b<BR>\n" );
document.write( "140 = 7b<BR>\n" );
document.write( "b = 140/7<BR>\n" );
document.write( "b = 20 days, B by himself<BR>\n" );
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document.write( "A,B,C working together ,can do a piece of work in 18 days. A can do it alone in 72 days.<BR>\n" );
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document.write( "Find how long (bc) for B&C to do the job (we can treat B&C as a single person) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F72 ALIGN=MIDDLE  ALT=\"18%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F%28bc%29 ALIGN=MIDDLE  ALT=\"18%2F%28bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 72bc <BR>\n" );
document.write( "18bc + 18(72) = 72bc<BR>\n" );
document.write( "1296 = 72bc - 18bc<BR>\n" );
document.write( "1296 = 54bc<BR>\n" );
document.write( "bc = 1296/54<BR>\n" );
document.write( "bc = 24 days B*C only working <BR>\n" );
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document.write( "After working for 6 days, A fell ill.<BR>\n" );
document.write( " How long will B and C together take to finish the remaining work?<BR>\n" );
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document.write( "Let t = time worked by B*C to finish the job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F72 ALIGN=MIDDLE  ALT=\"6%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B6%29%2F24 ALIGN=MIDDLE  ALT=\"%28t%2B6%29%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 72, results<BR>\n" );
document.write( "6 + 3(t+6) = 72<BR>\n" );
document.write( "6 + 3t + 18 = 72<BR>\n" );
document.write( "3t = 72 -24<BR>\n" );
document.write( "3t = 48<BR>\n" );
document.write( "t = 48/3<BR>\n" );
document.write( "t = 16 days for B&C to finish the job, when A leaves after 6 days<BR>\n" );
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