document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969836>Question 969836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andrew can paint a fence in 7 hours and Diana can paint the same fence in 4 hours. How long would it take if Andrew and Diana work together? ( round answer to the nearest tenth and label) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592569 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=time needed to paint fence when they work together<BR>\n" );
document.write( "Then together they paint at the rate of 1/x fence per hour\r<BR>\n" );
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document.write( "Andrew paints at the rate of 1/7 fence per hour<BR>\n" );
document.write( "Diana paints at the rate of 1/4 fence per hour<BR>\n" );
document.write( "soooo<BR>\n" );
document.write( "1/7 + 1/4=1/x  multiply each term by 28x to get rid of fractions<BR>\n" );
document.write( "4x+7x=28<BR>\n" );
document.write( "11x=28<BR>\n" );
document.write( "x=28/11 hrs (you can divide this out)<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "In (28/11) hrs, Andrew paints(28/11)*(1/7)=4/11 of the fence<BR>\n" );
document.write( "In (28/11) hrs, Diana paints (28/11)*(1/4)=7/11 of the fence<BR>\n" );
document.write( "Those should add up to 1 fence and they do:)<BR>\n" );
document.write( "Hope this helps----ptaylor </SPAN>\n" );
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