document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028976>Question 1028976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A welder requires 24 h to do a job. After the welder and an apprentice work on the job for 12 h, the welder quits. The apprentice finishes the job in 15 h. How long would it take the apprentice, working alone, to do 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 #644037 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=644037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> List of the work rates:<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">welder                   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "apprentice               <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "welder + apprentice      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2F24 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ></PRE>\r<BR>\n" );
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document.write( "The example is a uniform work rates problem, like RT=J, using J for amount of job.<BR>\n" );
document.write( "Put the description into an equation.<BR>\n" );
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document.write( "That is enough help unless you need help with the algebra.  Solve for x.<BR>\n" );
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document.write( "Yes, you want more help on solving the equation...\r<BR>\n" );
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document.write( "You should be able to identify the simplest common denominator being 24x.  You can begin by MULTIPLYING the left and right members by 24x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A12%2A2%2B12x%2B24%2A15=24x ALIGN=MIDDLE  ALT=\"24%2A12%2A2%2B12x%2B24%2A15=24x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A12%2A2%2B24%2A15=12x ALIGN=MIDDLE  ALT=\"24%2A12%2A2%2B24%2A15=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=48%2B30 ALIGN=MIDDLE  ALT=\"x=48%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=79%29 ALIGN=MIDDLE  ALT=\"highlight%28x=79%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------------No!\r<BR>\n" );
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document.write( "The steps above contain a mistake, not yet found.  After working again on paper, the result found is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=54%29 ALIGN=MIDDLE  ALT=\"highlight%28x=54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and this checks as correct when substituted in the original equation. </SPAN>\n" );
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