document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944770>Question 944770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One pipe can fill a tank in 6 hours and another pipe can fill the same tank in 3 hours. A drain pipe can empty the tank in 24 hours. With all the pipes open, how long will it take to fill the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576048 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=576048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipe A fills 1 tank in 6 hours=1 tank/6 hrs=1/6 tank/hr<BR>\n" );
document.write( "Pipe B fills 1 tank in 3 hours=1 tank/3 hrs=1/3 tank/hr<BR>\n" );
document.write( "Since the drain empties the tank, it has a negative fill rate.<BR>\n" );
document.write( "Pipe C (drain) empties -1 tank in 24 hours=-1 tank/24 hrs=-1/24 tank/hr<BR>\n" );
document.write( "With all pipes open, the combined rate is:<BR>\n" );
document.write( "Rate=A+B+C=1/6 tank/hr + 1/3 tank/hr + (-1/24 tank/ hr) Find common denominator<BR>\n" );
document.write( "Rate=(1/6)(4/4) tank/hr+(1/3)(8/8) tank/hr +(-1/24) tank/hr<BR>\n" );
document.write( "Rate=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F24%2B8%2F24-1%2F24 ALIGN=MIDDLE  ALT=\"4%2F24%2B8%2F24-1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >tank/hr<BR>\n" );
document.write( "Rate=11/24 tank/hr With all pipes open, the tank fills at a rate of 11/24 tank/hr<BR>\n" );
document.write( "To fill the whole tank: 1 tank/(11/24 tank/hr)=2.18 hours <BR>\n" );
document.write( "ANSWER With all pipes open, the tank will fill in 2.18 hours.\r<BR>\n" );
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