document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746611>Question 746611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool has two inlet pipes.  One fills the pool in three hours and the other in 6 hours.  The outlet pipe empties the pool in 4 hours. Once the outlet pipe was left open when the pool was being filled, in how many hours was the pool full?\r<BR>\n" );
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document.write( "Please help.  I am trying to help my son with his homework. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454394 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add the rates of filling of the 2 filling pipes and<BR>\n" );
document.write( "subtract the rate of draining of the emptying pipe<BR>\n" );
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document.write( "1st pipe's rate:  ( 1 pool filled ) / ( 3 hrs )<BR>\n" );
document.write( "2nd pipe's rate: ( 1 pool filled ) / ( 6 hrs )<BR>\n" );
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document.write( "3rd pipe's rate of emptying: ( 1 pool emptied ) / ( 4 hrs )<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hrs to fill the pool with all 3 pipes open<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+1%2F6+-1%2F4+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+1%2F6+-1%2F4+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24t+ ALIGN=MIDDLE  ALT=\"+24t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8t+%2B+4t+-+6t+=+24+ ALIGN=MIDDLE  ALT=\"+8t+%2B+4t+-+6t+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+=+24+ ALIGN=MIDDLE  ALT=\"+6t+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4+ ALIGN=MIDDLE  ALT=\"+t+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take 4 hrs to fill the pool with all 3 pipes open<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+1%2F6+-1%2F4+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+1%2F6+-1%2F4+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+1%2F6+-1%2F4+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+1%2F6+-1%2F4+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+%2B+1%2F6+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F3+%2B+1%2F6+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F6+%2B+1%2F6+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+2%2F6+%2B+1%2F6+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F6+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+3%2F6+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+1%2F2+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );