document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71096>Question 71096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"3 Pipes of different sizes are filling up a pool. Pipe1 fills it up a third of the time that it takes Pipe3, and Pipe2 fills it up a half of the time that it takes Pipe3. How long will it take each pipe to fill up the pool by itself?\"\r<BR>\n" );
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document.write( " -if you set up a table, i'm not sure where the variable would go, or when you set up the equation[[Pipe 1 work done + Pipe 2 work done + Pipe 3 work done = ?]] should that ? be a 1, for one hour, or a 3, for the 3 hours it took to fill up the pool with all of the pipes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296756 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It doesn't necessarily take three hours for all three pipes to fill the pool. To solve this problem, let's take pipe 3 as our starting point.  To fill the pool, pipe 3 working alone would take 1/x time.  Since pipe 1 takes 1/3rd the time, it would be represented by 1/1x/3.  Likewise, pipe 2 would be 1/1x/2. To fill one pool our equation would be: 1/x + 2/x + 3/x = 1 whole pool. X(1/x + 2/x + 3/x) = (1)X.  1 + 2 + 3 = X, or X = 6 hours for one whole pool.  The other times are 1/2 * 6, or 3 hours, and 1/3 * 6, or 2 hours to fill a pool.  Checking: 1/2 + 1/3 + 1/6 = 1. </SPAN>\n" );
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