document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197891>Question 1197891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a certain bathtub, the cold water faucet can fill the tub in 8 minutes. The hot water faucet can fill the tub in 12 minutes. If both faucets are used together, how long will it take to fill the tub?<BR>\n" );
document.write( "Do not do any rounding.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831336 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = quantity<BR>\n" );
document.write( "quantity = 1 full tub.<BR>\n" );
document.write( "for the cold water faucet, the equation becomes:<BR>\n" );
document.write( "rate * 8 = 1<BR>\n" );
document.write( "solve for rate to get rate = 1/8.<BR>\n" );
document.write( "for the hot water faucet, the equation becomes:<BR>\n" );
document.write( "rate * 12 = 1<BR>\n" );
document.write( "solve for rate to get rate = 1/12.<BR>\n" );
document.write( "when they are both working together, their rates are additive.<BR>\n" );
document.write( "you get (1/8 + 1/12) * time = 1<BR>\n" );
document.write( "1/8 * 3/3 = 3/24<BR>\n" );
document.write( "1/12 * 2/2 = 2/24<BR>\n" );
document.write( "formula becomes:<BR>\n" );
document.write( "(3/24 + 2/24) * time = 1 which becomes:<BR>\n" );
document.write( "5/24 * time = 1<BR>\n" );
document.write( "solve for time to get:<BR>\n" );
document.write( "time = 1*24/5 = 24/5 minutes.<BR>\n" );
document.write( "that's how long to fill the tub when both faucets are open.<BR>\n" );
document.write( "the cold water faucet will fill 1/8 * 24/5 = 3/5 of the tub in 24/5 minutes.<BR>\n" );
document.write( "the hot water faucet will fill 1/12 * 24/5 = 2/5 of the tub in 24/5 minutes.<BR>\n" );
document.write( "3/5 + 2/5 = 5/5 = 1 = the whole tub in the same 24/5 minutes.\r<BR>\n" );
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document.write( "your solution is that it will take 24/5 minutes to fill the tub if both faucets are open.<BR>\n" );
document.write( "24/5 = 4.8 minutes in decimal format.\r<BR>\n" );
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