document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892275>Question 892275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if rob sarah and George can complete a job in 12 days and rob can work 6 times faster than sarah and 3 times faster than George...how long would it take sarah to complete the job herself?<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 #540408 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=540408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> RT=J for rate time job.<BR>\n" );
document.write( "Uniform rates for job or task completion.<BR>\n" );
document.write( "Rate is in units of jobs per days.\r<BR>\n" );
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document.write( "Let d = time for Rob to do 1 job;<BR>\n" );
document.write( "Rob, 1/d<BR>\n" );
document.write( "George, 1/(3d)<BR>\n" );
document.write( "Rob&George, 1/12<BR>\n" );
document.write( "Sarah, 1/(6d)\r<BR>\n" );
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document.write( "Think very carefully about those rate expressions and how they conform to the description before continuing.\r<BR>\n" );
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document.write( "The combined work rate for Rob and George is the sum of their rates.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%283d%29%2B1%2F%283d%29=1%2F12 ALIGN=MIDDLE  ALT=\"3%2F%283d%29%2B1%2F%283d%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%283d%29=1%2F12 ALIGN=MIDDLE  ALT=\"4%2F%283d%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d%2F4=12 ALIGN=MIDDLE  ALT=\"3d%2F4=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d=36 ALIGN=MIDDLE  ALT=\"3d=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=12%29 ALIGN=MIDDLE  ALT=\"highlight%28d=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "With d now known, the rates for Rob and George can be evaluated.  The time for Sarah to do 1 job is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286d=highlight%2872%29%29 ALIGN=MIDDLE  ALT=\"highlight%286d=highlight%2872%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > days. </SPAN>\n" );
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