document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7910>Question 7910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An oil tanker has 2 inlet pipes.Pipe #1 can fill the tank in 6 hours, pipe #2 can fill it in 2 hours. An outlet valve can empty the tank in 24 hours. How long will it take to fill the tank if all 3 are fully opened? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4336 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=4336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's see what can happen in 1 hour:\r<BR>\n" );
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document.write( "If inlet #1 can fill in 6 hours, then it can fill 1/6 of the tank in 1 hour.<BR>\n" );
document.write( "If inlet #2 can fill in 2 hours, then it can fill 1/2 of the tank in 1 hour.<BR>\n" );
document.write( "If the outlet can empty it in 24 hours, then it can empty 1/24 (-1/24) of the tank in 1 hour. So, in 1 hour, altogether, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+%2B+1%2F2+-+1%2F24+=+4%2F24+%2B+12%2F24++-+1%2F24 ALIGN=MIDDLE  ALT=\"1%2F6+%2B+1%2F2+-+1%2F24+=+4%2F24+%2B+12%2F24++-+1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F24 ALIGN=MIDDLE  ALT=\"15%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, in 1 hour, with all three valves fully opened, 15/24 of the tank can be filled. You could write this as: 15/24 of 1 tank = 1 hour.\r<BR>\n" );
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document.write( "Multiply both sides by the multiplicative inverse of (15/24) to find how long to fill the whole tank:<BR>\n" );
document.write( "This means it will take 24/15 hours to fill the tank. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F15+=+%281+%2B+9%2F15%29+hours ALIGN=MIDDLE  ALT=\"24%2F15+=+%281+%2B+9%2F15%29+hours\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 hour and 36 minutes to fill the tank.<BR>\n" );
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