document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584389>Question 584389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes 9 hours for pump A to fill a tank alone. Pump B takes 15 hours to fill the same tank alone. If pumps A,B, and C are used, the tank fills in 5 hours. How long does it take pump C to fill the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372780 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     It takes 9 hours for pump A to fill a tank alone. Pump B takes 15 hours to fill the same tank alone. If pumps A,B, and C are used, the tank fills in 5 hours. How long does it take pump C to fill the tank?<BR>\n" );
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document.write( "Let c = time (hours) it takes for pump C to fill tank<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5(1/9 + 1/15 + 1/c) = 1<BR>\n" );
document.write( "5/9 + 5/15 + 5/c = 1<BR>\n" );
document.write( "5/9 + 1/3 + 5/c = 1<BR>\n" );
document.write( "multiplying both sides by 9c:<BR>\n" );
document.write( "5c + 3c + 45 = 9c<BR>\n" );
document.write( "8c + 45 = 9c<BR>\n" );
document.write( "45 hours = c<BR>\n" );
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