document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948479>Question 948479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom and the Felix working together can paint 16 walls per hour.<BR>\n" );
document.write( "Felix and the Sue can paint 18 walls between them in an hour.<BR>\n" );
document.write( "Tom and the Sue can combine their labours to paint 10 walls per hour.<BR>\n" );
document.write( "132 walls need to be painted, so how long would it take to accomplish this if all three worked together?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578947 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=578947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom and the Felix working together can paint 16 walls per hour.<BR>\n" );
document.write( " Felix and the Sue can paint 18 walls between them in an hour.<BR>\n" );
document.write( " Tom and the Sue can combine their labours to paint 10 walls per hour.<BR>\n" );
document.write( " 132 walls need to be painted, so how long would it take to accomplish this if all three worked together? <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Tom + Felix rate:: 1/16 wall/hr<BR>\n" );
document.write( "Felix + Sue rate:: 1/18 wall/hr<BR>\n" );
document.write( "Tom and Sue rate:: 1/10 wall/hr<BR>\n" );
document.write( "----<BR>\n" );
document.write( "t + f = 1/16<BR>\n" );
document.write( "s + f = 1/18<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Subtract to get::<BR>\n" );
document.write( "t-s = 1/16- 1/18 = 2/(16*18) = 1/144<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t+s = 1/10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add to get<BR>\n" );
document.write( "2t = (1/144)+ 1/10<BR>\n" );
document.write( "2t = 154/1440<BR>\n" );
document.write( "t = 77/1440  (Tom's rate)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f = 1/16 - (77/1440) = (1440-16*77)/(16*1440) = 208/23040 (Felix's rate)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "s + (208/23040) = 1/18<BR>\n" );
document.write( "s = 0.04653 (Sue's rate<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x(0.04653 + 0.00903 + 0.05347) = 32<BR>\n" );
document.write( "x = 293.5 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Note:: Check the arithmetic.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );