document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503830>Question 503830</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 hours, how long will it take for both of them to paint the same house together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339428 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=339428\">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 hours, how long will it take for both of them to paint the same house together?<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Sally time = 4 hrs/job ; rate = 1/4 job/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "John time = 6 hrs/job ; rate = 1/6 job/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Together time = x hrs/job ; 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( "---<BR>\n" );
document.write( "Multiply thru by 12x to get:<BR>\n" );
document.write( "3x + 2x = 12<BR>\n" );
document.write( "5x = 12<BR>\n" );
document.write( "x = 12/5 = 2hr 24min (time to do the job together)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );