document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571229>Question 571229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if it takes 4 hours for a group of people to paint a house and 6 hours for another group of people to paint another house, How long will it take for both groups of people to paint a 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 #368019 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     if it takes 4 hours for a group of people to paint a house and 6 hours for another group of people to paint another house, How long will it take for both groups of people to paint a house together?<BR>\n" );
document.write( "Let x = time (hours) it takes for both groups<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x(1/4 + 1/6) = 1<BR>\n" );
document.write( "multiply both sides by 12:<BR>\n" );
document.write( "x(3 + 2) = 12<BR>\n" );
document.write( "x(5) = 12<BR>\n" );
document.write( "x = 12/5<BR>\n" );
document.write( "x = 2.4 hours<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );