document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412923>Question 412923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kindly answer these problems please  because i am still quite confused in answering these problem using system of linear equations. \r<BR>\n" );
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document.write( "2) A diving pool can be filled by a pipe in 10 hrs. if the drain is open. If the pipe was allowed to run with the drain for 2 hrs. and the drain was closed, it would require the pipe 4 more hrs. to fill the pool. How long would it take the pipe to fill the pool if the drain is closed from the start?\r<BR>\n" );
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document.write( "Thank you in advance! Hoping for your immediate reply.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289952 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "let assume that pipe fill the tank in x hours,so in one hour 1/x part of tank. \r<BR>\n" );
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document.write( "and drain empty the tank in y hours, so in one hour 1/y part of tank.\r<BR>\n" );
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document.write( "here obviously value of x is less then y.\r<BR>\n" );
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document.write( " portion of tank filled in one hour when both are open = 1/x - 1/y\r<BR>\n" );
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document.write( "according to question, <BR>\n" );
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document.write( "10(1/x -1/y) = 1   => 10y - 10x = xy   \r<BR>\n" );
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document.write( "and 2(1/x -1/y) + 4* 1/x = 1  \r<BR>\n" );
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document.write( "from first equation we find, y =  10x / (10-x)\r<BR>\n" );
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document.write( "now, put this value of second equation,  \r<BR>\n" );
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document.write( "2( 1/x - (10-x)/10x )+ 4*1/x = 1 \r<BR>\n" );
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document.write( "=> 2 * 1/10 + 4/x = 1\r<BR>\n" );
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document.write( "after solving, x= 5, y = 10 \r<BR>\n" );
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document.write( "x = 5 hours\r<BR>\n" );
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document.write( "so,  if drain is closed the pipe will fill the pool in 5 hours...\r<BR>\n" );
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document.write( "if any problem, welcome to contact..... </SPAN>\n" );
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