document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949827>Question 949827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Officials begin to release water from a full man-made lake at a rate that would empty the lake in 6 weeks, but a river that can fill the lake in 20 weeks is replenishing the lake at the same time. How long does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579894 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lake empties at rate -1 lake/6wks=-1/6 lake/wk<BR>\n" );
document.write( "Lake fills at rate lake/20wks=1/20 lake/wk<BR>\n" );
document.write( "Combined rate: -1/6 lake/wk + 1/20 lake/wk=-10/60 lake/wk +3/60 lake/wk=-7/60 lake/wk<BR>\n" );
document.write( "To empty the 1 lake at rate -7/60 lake/wk=1/(-7/60)=-(60/7)wks= 8 4/7 wks<BR>\n" );
document.write( "ANSWER:  It would take 8 weeks and 4 days to empty the lake. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );