document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514340>Question 514340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? <BR>\n" );
document.write( "How do I set this up to solve it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343385 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=343385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Sally rate = 1/4 job/hr<BR>\n" );
document.write( "John rate = 1/6 job/hr<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Together rate: 1/x job/hr<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate + together rate<BR>\n" );
document.write( "1/4 + 1/6 = 1/x<BR>\n" );
document.write( "Multiply thru by 12x:<BR>\n" );
document.write( "3x + 2x = 12<BR>\n" );
document.write( "5x = 12<BR>\n" );
document.write( "x = 2.4 hr = 2hr 24 min (time to do the job together)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );