document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98431>Question 98431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty  will it take the sink to fill, if its capacity is 8 liters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71624 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty will it take the sink to fill, if its capacity is 8 liters?<BR>\n" );
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document.write( "Let's look the two devices individually<BR>\n" );
document.write( "The faucet alone fills the sink: 8 * 5 = 40 sec<BR>\n" );
document.write( "The drain alone empties a full sink: 8 * 11 = 88 sec<BR>\n" );
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document.write( "Let t = time to fill the sink when both devices are on<BR>\n" );
document.write( "Let the full sink = 1<BR>\n" );
document.write( "Filling is +<BR>\n" );
document.write( "Draining is -<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F40 ALIGN=MIDDLE  ALT=\"t%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F88 ALIGN=MIDDLE  ALT=\"t%2F88\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 880<BR>\n" );
document.write( "880*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F40 ALIGN=MIDDLE  ALT=\"t%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 880*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F88 ALIGN=MIDDLE  ALT=\"t%2F88\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 880(1)<BR>\n" );
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document.write( "CAncel out the denominators and you have:<BR>\n" );
document.write( "22t - 10t = 880<BR>\n" );
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document.write( "12t = 880<BR>\n" );
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document.write( "t = 880/12<BR>\n" );
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document.write( "t = 73.33 seconds<BR>\n" );
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document.write( "Check using t = 73.33 :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.33%2F40 ALIGN=MIDDLE  ALT=\"73.33%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.33%2F88 ALIGN=MIDDLE  ALT=\"73.33%2F88\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( " 1.83 - .83 = 1<BR>\n" );
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document.write( "How about this? Was it understandable? <BR>\n" );
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