document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373417>Question 373417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked together on a job for 12 h, the experienced bricklayer quit. The apprentice required 12 more hours to finish the job. How long would it take the experienced bricklayer, 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 #265807 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the apprentices rate of working<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r ALIGN=MIDDLE  ALT=\"2r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the experienced bricklayer's rate of working<BR>\n" );
document.write( "If I add their rates and multiply by hours worked, that<BR>\n" );
document.write( "will give me the fraction of the job completed<BR>\n" );
document.write( "When the experienced bricklayer quit, that fraction is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r+%2B+2r%29%2A12 ALIGN=MIDDLE  ALT=\"%28r+%2B+2r%29%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the remaining fraction of the job is done in 12 hours<BR>\n" );
document.write( "That fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2A12+ ALIGN=MIDDLE  ALT=\"r%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I can say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%2A12+=+1+-+r%2A12 ALIGN=MIDDLE  ALT=\"3r%2A12+=+1+-+r%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36r+=+1+-+12r ALIGN=MIDDLE  ALT=\"36r+=+1+-+12r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48r+=+1 ALIGN=MIDDLE  ALT=\"48r+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1%2F48 ALIGN=MIDDLE  ALT=\"r+=+1%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r+=+2%2F48 ALIGN=MIDDLE  ALT=\"2r+=+2%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r+=+1%2F24 ALIGN=MIDDLE  ALT=\"2r+=+1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The experienced bricklayer takes 24 hours to do the job alone<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r+%2B+2r%29%2A12+=+3%2A%281%2F48%29%2A12 ALIGN=MIDDLE  ALT=\"%28r+%2B+2r%29%2A12+=+3%2A%281%2F48%29%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F48%29%2A12+=+3%2F4 ALIGN=MIDDLE  ALT=\"%283%2F48%29%2A12+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2A12+=+12%2F48 ALIGN=MIDDLE  ALT=\"r%2A12+=+12%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F48+=+1%2F4 ALIGN=MIDDLE  ALT=\"12%2F48+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Working together, they did 3/4 of the job<BR>\n" );
document.write( "Then the apprentice did 1/4 of the job alone </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );