document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100984>Question 1100984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Left on together, the cold and hot water faucets of a certain bathtub take <BR>\n" );
document.write( "4<BR>\n" );
document.write( " minutes to fill the tub. If it takes the cold water faucet <BR>\n" );
document.write( "12<BR>\n" );
document.write( " minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715546 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "First the standard method of solution, usually taught in beginning algebra classes....<br><BR>\n" );
document.write( "The two tubs together fill the tub in 4 minutes; so they fill 1/4 of the tub in 1 minute.<br><BR>\n" );
document.write( "The cold water faucet fills the tub alone in 12 minutes; so it fills 1/12 of the tub in 1 minute.<br><BR>\n" );
document.write( "So the fraction of the tub that the hot water faucet fills in 1 minute is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+-+1%2F12+=+3%2F12+-+1%2F12+=+2%2F12+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F4+-+1%2F12+=+3%2F12+-+1%2F12+=+2%2F12+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the hot water faucet can fill  1/6 of the tub in 1 minute, it can fill the tub in 6 minutes.<br><BR>\n" );
document.write( "Algebraically, if x is the number of minutes is takes the hot water faucet to fill the tub alone,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12+%2B+1%2Fx+=+1%2F4 ALIGN=MIDDLE  ALT=\"1%2F12+%2B+1%2Fx+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+=+1%2F4+-+1%2F12+=+3%2F12+-+1%2F12+=+2%2F12+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fx+=+1%2F4+-+1%2F12+=+3%2F12+-+1%2F12+=+2%2F12+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br><BR>\n" );
document.write( "And here is an alternative solution method which I find many students prefer....<br><BR>\n" );
document.write( "The cold water faucet can fill the tub in 12 minutes.<BR>\n" );
document.write( "In those same 12 minutes, the two faucets together could fill the tub 3 times.<BR>\n" );
document.write( "But if together they can fill the tub 3 times in 12 minutes, and the cold water faucet alone can fill it only 1 time in 12 minutes, then the hot water faucet can fill the tub 2 times in 12 minutes.<BR>\n" );
document.write( "But that means it can fill the tub once in 6 minutes.<br><BR>\n" );
document.write( "Try both methods for solving this kind of problem and find which \"workd' better for you. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );