document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620951>Question 620951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an inlet pipe on a swimming pool can be used to fill a pool in 32 hours. The drain pipe can be used to empty the pool in 48 hours. If the pool is 1/3 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390474 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an inlet pipe on a swimming pool can be used to fill a pool in 32 hours. The drain pipe can be used to empty the pool in 48 hours. If the pool is 1/3 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=time it will take to fill the pool<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/32=work rate of inlet pipe<BR>\n" );
document.write( "1/48=work rate of drain pipe<BR>\n" );
document.write( "volume of flow=work rate*time<BR>\n" );
document.write( "remaining fraction of pool to be filled=2/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/32*x-1/48*x=2/3<BR>\n" );
document.write( "x/32-x/48=2/3<BR>\n" );
document.write( "48x-32x=2*48*32/3<BR>\n" );
document.write( "16x=1024<BR>\n" );
document.write( "x=64<BR>\n" );
document.write( "time it will take to fill the pool=64 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );