document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451900>Question 451900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When Amos and Bert do a certain job, it takes 13 and 19/23 hours. WHen Bert and Clyde do it, it takes 13 and 1/5 hours. When Amos and Clyde do it, it takes 17 and 5/23 hours. How long does it take each brother to do it alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310701 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=310701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Time for A and B:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+%2B+19%2F23+ ALIGN=MIDDLE  ALT=\"+13+%2B+19%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Time for B and C:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+%2B+1%2F5+ ALIGN=MIDDLE  ALT=\"+13+%2B+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Time for A and C:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+17+%2B+5%2F23+ ALIGN=MIDDLE  ALT=\"+17+%2B+5%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+%2B+19%2F23+ ALIGN=MIDDLE  ALT=\"+13+%2B+19%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+299%2F23+%2B+19%2F23+ ALIGN=MIDDLE  ALT=\"+299%2F23+%2B+19%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+318%2F23+ ALIGN=MIDDLE  ALT=\"+318%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+%2B+1%2F5+ ALIGN=MIDDLE  ALT=\"+13+%2B+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+66%2F5+ ALIGN=MIDDLE  ALT=\"+66%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+17+%2B+5%2F23+ ALIGN=MIDDLE  ALT=\"+17+%2B+5%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+391%2F23+%2B+5%2F23+ ALIGN=MIDDLE  ALT=\"+391%2F23+%2B+5%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+396%2F23+ ALIGN=MIDDLE  ALT=\"+396%2F23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let their rates of working =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5BA%5D ALIGN=MIDDLE  ALT=\"r%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5BB%5D ALIGN=MIDDLE  ALT=\"r%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5BC%5D ALIGN=MIDDLE  ALT=\"r%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BA%5D+%2B+r%5BB%5D+=+1+%2F+%28318%2F23%29+ ALIGN=MIDDLE  ALT=\"+r%5BA%5D+%2B+r%5BB%5D+=+1+%2F+%28318%2F23%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+%2B+r%5BC%5D+=+1+%2F+%2866%2F5%29+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+%2B+r%5BC%5D+=+1+%2F+%2866%2F5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BA%5D+%2B+r%5BC%5D+=+1+%2F+%28396%2F23%29+ ALIGN=MIDDLE  ALT=\"+r%5BA%5D+%2B+r%5BC%5D+=+1+%2F+%28396%2F23%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that the right sides mean ( 1 job) / ( time to do that job)<BR>\n" );
document.write( "This is 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "Subtract (3) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BA%5D+%2B+r%5BB%5D+=+.072327+ ALIGN=MIDDLE  ALT=\"+r%5BA%5D+%2B+r%5BB%5D+=+.072327+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+r%5BA%5D+-+r%5BC%5D+=-+.058080+ ALIGN=MIDDLE  ALT=\"-+r%5BA%5D+-+r%5BC%5D+=-+.058080+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+-+r%5BC%5D+=+.014247+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+-+r%5BC%5D+=+.014247+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Add this to (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+%2B+r%5BC%5D+=+.075757+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+%2B+r%5BC%5D+=+.075757+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+-+r%5BC%5D+=+.014247+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+-+r%5BC%5D+=+.014247+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r%5BB%5D+=+.090004+ ALIGN=MIDDLE  ALT=\"+2r%5BB%5D+=+.090004+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+=+.045002+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+=+.045002+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BB%5D+=+1%2F22.22+ ALIGN=MIDDLE  ALT=\"+r%5BB%5D+=+1%2F22.22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.045002+%2B+r%5BC%5D+=+.075757+ ALIGN=MIDDLE  ALT=\"+.045002+%2B+r%5BC%5D+=+.075757+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BC%5D+=+.030755+ ALIGN=MIDDLE  ALT=\"+r%5BC%5D+=+.030755+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BC%5D+=+1%2F32.52%0D%0Aand%0D%0A%281%29+%7B%7B%7B+r%5BA%5D+%2B+.045002+=+.072327+ ALIGN=MIDDLE  ALT=\"+r%5BC%5D+=+1%2F32.52%0D%0Aand%0D%0A%281%29+%7B%7B%7B+r%5BA%5D+%2B+.045002+=+.072327+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BA%5D+=+.027325+ ALIGN=MIDDLE  ALT=\"+r%5BA%5D+=+.027325+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5BA%5D+=+36.60+ ALIGN=MIDDLE  ALT=\"+r%5BA%5D+=+36.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );