document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996903>Question 996903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill, Bob, and Barry are painting signs. In 8 hours Bill can paint 1 sign,Bob can paint 2, and Barry can paint 1 and 1/3 signs. Barry stops painting after 3 hours, and Bob stops after 3 and 1/2. How long will it it take Bill to finish the 2 signs they had to do </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615212 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=615212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify their rates.\r<BR>\n" );
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document.write( "           raw        step            simplified\r\n" );
document.write( "Bill      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "Bob       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F8 ALIGN=MIDDLE  ALT=\"2%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "Barry     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B1%2F3%29%2F8 ALIGN=MIDDLE  ALT=\"%281%2B1%2F3%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2F8 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "Review the time sequence and who is working.  The description is obscure but we might guess that the job begins with all three people working.  <BR>\n" );
document.write( "Bill+Bob+Barry work for 3 hours;<BR>\n" );
document.write( "Barry stops, and<BR>\n" );
document.write( "Bill+Bob work for 3+1/2 hours;<BR>\n" );
document.write( "Bob stops, and<BR>\n" );
document.write( "Bill works for some unknown t time in hours to do \"2 signs they had to do\".\r<BR>\n" );
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document.write( "Again, this seems an obscure description, but seems like the amount of work to do was to be 2 signs.  The unit in the rate table is in SIGN per HOUR.  This should likely be the amount of job or work to be done from the beginning.\r<BR>\n" );
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document.write( "Put the time sequence into an equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%281%2F8%2B1%2F4%2B1%2F6%29%2A3%2B%281%2F8%2B1%2F4%29%2A%283%261%2F2%29%2B%281%2F8%29t=2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This is what you basically want to setup; and then solve it for t.\r<BR>\n" );
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document.write( "(I leave the arithmetic steps for you to do). </SPAN>\n" );
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