document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805778>Question 805778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a swimming pool can be filled by 3 water pipes, A, B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, it can be filled in 6 hours. If pipes A and B are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485477 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=485477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a swimming pool can be filled by 3 water pipes, A, B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, it can be filled in 6 hours. If pipes A and B are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used?<BR>\n" );
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document.write( "1/8=fill rate of C<BR>\n" );
document.write( "1/x=fill rate of B<BR>\n" );
document.write( "1/y=fill rate of A<BR>\n" );
document.write( "1/z=fill rate when all three pipes are used<BR>\n" );
document.write( "sum of individual rates=rate working together<BR>\n" );
document.write( "...<BR>\n" );
document.write( "1/8+1/x=1/6<BR>\n" );
document.write( "1/x=1/6-1/8=4/24-3/24=1/24<BR>\n" );
document.write( "1/x=1/24(fill rate of B)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/x+1/y=1/10<BR>\n" );
document.write( "1/24+1/y=1/10<BR>\n" );
document.write( "LCD:240<BR>\n" );
document.write( "1/y=1/10-1/24=(24-10)/240=14/240=7/120(fill rate of A)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/8+1/24+7/120=1/z<BR>\n" );
document.write( "LCD:120<BR>\n" );
document.write( "(15+5+7)/120=27/120=9/40<BR>\n" );
document.write( "How long does it take to fill the pool if all three pipes are used? 40/9 hrs\r<BR>\n" );
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