document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696385>Question 696385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two taps A and B together fill a swimming pool i 15 days . Tap A and B are kept open for 12 days and then tap B is closed . It takes another 8 days for the swimming pool to be filled. How many days each tap  require to fill the swimming pool </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428975 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=428975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two taps A and B together fill a swimming pool i 15 days . Tap A and B are kept open for 12 days and then tap B is closed . It takes another 8 days for the swimming pool to be filled. How many days each tap require to fill the swimming pool<BR>\n" );
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document.write( "Let A and B be the rates of the 2 taps.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "15A + 15B = 1 job<BR>\n" );
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document.write( "20A + 12B = 1 job<BR>\n" );
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document.write( "Multiply thru the top equation by 12<BR>\n" );
document.write( "multiply thru the bottom equation by 15<BR>\n" );
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document.write( "180A + 180B = 12<BR>\n" );
document.write( "300A + 180B = 15<BR>\n" );
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document.write( "Subtract and solve for A<BR>\n" );
document.write( "120A = 3<BR>\n" );
document.write( "A = 1/40 job/day (A's rate)<BR>\n" );
document.write( "A would take 40 days to fill the pool alone.<BR>\n" );
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document.write( "Solve for \"B\"<BR>\n" );
document.write( "20A + 12B = 1<BR>\n" );
document.write( "1/2 + 12B = 1<BR>\n" );
document.write( "12B = 1/2<BR>\n" );
document.write( "B = 1/24 job/day (B's rate)<BR>\n" );
document.write( "A would take 24 days to fill the pool alone.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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