document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171680>Question 171680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three painters can finish painting a wall in 10 minutes.  The first painter can finish a wall in 20 minutes and the second one can do it in 30 minutes.  How long would it take the third painter to do the job alone.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126805 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=126805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three painters can finish painting a wall in 10 minutes. The first painter can finish a wall in 20 minutes and the second one can do it in 30 minutes. How long would it take the third painter to do the job alone. <BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "1st painter DATA<BR>\n" );
document.write( "Time = 20 min/job ; rate = 1/20 job/min<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "2nd painter DATA:<BR>\n" );
document.write( "Time = 30 min/job ; rate = 1/30 job/min<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "3rd painter DATA:<BR>\n" );
document.write( "Time = x min/job ; rate = 1/x job/min<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "Time = 10 min/job ;rate = 1/10 job/min<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "rate + rate + rate = together rate<BR>\n" );
document.write( "1/20 + 1/30 + 1/x = 1/10\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply thru by 60x to get:<BR>\n" );
document.write( "3x + 2x + 60 = 6x<BR>\n" );
document.write( "x = 60 minutes (time for the 3rd painter to do the job)<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );