document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290206>Question 290206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a swimming pool can be filled in 15 hours by pipe A alone and in 24 hours by pipe B alone. How long would it take to fill the pool if both pipes were working? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210003 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes if both pipes are working<BR>\n" );
document.write( "Then both pipes fill at the rate of 1/x pool per hour\r<BR>\n" );
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document.write( "Pipe A fills at the rate of 1/15 pool per hour<BR>\n" );
document.write( "Pipe B fills at the the rate of 1/24 pool per hour<BR>\n" );
document.write( "Both pipes fill at the rate of 1/15 + 1/24 pool per hour<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "1/15 + 1/24 = 1/x  multiply each term by 120x<BR>\n" );
document.write( "8x+5x=120<BR>\n" );
document.write( "13x=120<BR>\n" );
document.write( "x=120/13 hours (almost 9 1/4 hours)\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "in 120/13 hours Pipe A fills(1/15)(120/13)=8/13 of the pool<BR>\n" );
document.write( "in 120/13 hours Pipe B fills (1/24)(120/13)=5/13 of the pool<BR>\n" );
document.write( "5/13 +8/13=13/13=1 pool filled\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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