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 #428976 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=428976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of days it takes tap A to fill the pool<BR>\n" );
document.write( "Then tap A fills at the rate of 1/x of the pool per day.<BR>\n" );
document.write( "Let y=number of days it takes tap B to fill the pool<BR>\n" );
document.write( "Then tap B fills at the rate of 1/y of the pool per day<BR>\n" );
document.write( "Taps A and B, together, fill the pool at the rate of 1/15 pool per day<BR>\n" );
document.write( "so:<BR>\n" );
document.write( "1/x + 1/y =1/15-----------------eq1<BR>\n" );
document.write( "In 12 days, taps A and B together fill (1/15)*12 =12/15 of the pool<BR>\n" );
document.write( "In 8 days, tap A fills (1/x)*8=8/x of the pool<BR>\n" );
document.write( "so:<BR>\n" );
document.write( "12/15+8/x=1 (1 filled pool, that is)----eq2<BR>\n" );
document.write( "Solve eq2, and substitute into eq1<BR>\n" );
document.write( "12/15+8/x=1  multiply each term by 15x<BR>\n" );
document.write( "12x+120=15x<BR>\n" );
document.write( "3x=120<BR>\n" );
document.write( "x=40 days-----------------time it takes tap A to fill the pool<BR>\n" );
document.write( "From eq1<BR>\n" );
document.write( "1/40+1/y=1/15 multiply each term by 120y<BR>\n" );
document.write( "3y+120=8y<BR>\n" );
document.write( "5y=120<BR>\n" );
document.write( "y=24 days---------------time it takes tap B to fill the pool\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "In 15 days, tap A fills (1/40)*15=15/40=3/8 of the pool<BR>\n" );
document.write( "In 15 days, tap B fills (1/24)*15=15/24=5/8 of the pool<BR>\n" );
document.write( "3/8+5/8=1 (1 filled pool, that is)\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );