document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825011>Question 825011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 12 hours and pipe B can empty the tank in 18 hours.Both pipes are opened at 6 am & after some time pipe B is closed,&the tank is full at 8 pm on the same day.At what time was the pipe B closed?<BR>\n" );
document.write( "A)8 am<BR>\n" );
document.write( "B)9 am </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496932 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The time between 6am and 8pm is made of two time periods, x and y.  One combination of pipes was used for x amount of time, and another combination of pipes was used for y amount of time.\r<BR>\n" );
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document.write( "Sum of the time periods was 14 hours.  That is the amount of time from 6am to 8pm.  We have our very important first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2By=14%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2By=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The filling rate when both pipes A and B  are open is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12-1%2F18=%283-2%29%2F%282%2A2%2A3%2A3%29=highlight_green%281%2F36%29 ALIGN=MIDDLE  ALT=\"1%2F12-1%2F18=%283-2%29%2F%282%2A2%2A3%2A3%29=highlight_green%281%2F36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > tanks per hour)\r<BR>\n" );
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document.write( "When both tanks were open for x hours, the amount of tank filled was (1/36)x.<BR>\n" );
document.write( "When only tank A was open for y hours, the amount of tank DURING y was (1/12)y.<BR>\n" );
document.write( "The whole tank filled was the SUM of these amounts of the filling job:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F36%29x%2B%281%2F12%29y=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F36%29x%2B%281%2F12%29y=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equations highlight-enclosed in red are your system to solve.  You might want to simplify the job sum equation first, multiplying left and right by 36:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=36 ALIGN=MIDDLE  ALT=\"x%2B3y=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "So now you can use the simpler system to solve for x and y:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=36 ALIGN=MIDDLE  ALT=\"x%2B3y=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=14 ALIGN=MIDDLE  ALT=\"x%2By=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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