document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509134>Question 509134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sally can paint a house in 4 hours, & John can paint the same house in 6 hours, how long will it take for both of them to paint the 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 #341263 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sally does 1/4 of the house in an hour and John does 1/6 of the house in an hour, so both they do 1/4 + 1/6 = 5/12 of the house in an hour.\r<BR>\n" );
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document.write( "Which means they take 12/5 hours or 2.4 hours to paint the house.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "Sally’s proportion of the house is 2.4/4 = 3/5<BR>\n" );
document.write( "John’s proportion of the house is 2.4/6 = 2/5<BR>\n" );
document.write( "Combined they give 2/5 + 3/5 = 1 which is the full house.\r<BR>\n" );
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document.write( "You can see Sally does 3/2 times as much as John because she works 3/2 times as fast and therefore takes 2/3 of the time to do the same job (4 hours as opposed to 6 hours).\r<BR>\n" );
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document.write( "Hope this makes sense. </SPAN>\n" );
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