document.write( "Question 1073931: A small pipe can fill a tank in 8 min more time than it takes a larger pipe to fill the same tank. Working together, the pipes can fill the tank in 3 min. How long would it take each pipe, working alone, to fill the tank?
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Algebra.Com's Answer #688696 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Let x be the time for the large pipe to fill the tank working alone, in minutes.\r\n" );
document.write( "Then the time for the small pipe to fill the tank working alone is (t+8) minutes.\r\n" );
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document.write( "The larger pipe fills  of the tank volume per minute.\r\n" );
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document.write( "The smaller pipe fills  of the tank volume per minute.\r\n" );
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document.write( "The two pipes fill  of the tank volume, working simultaneously.\r\n" );
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document.write( "The condition says \r\n" );
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document.write( " = 1. \r\n" );
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document.write( "--->  3*(x+8) + 3x = x*(x+8)  --->   =   --->  (x-6)*(x+4) = 0  ---->\r\n" );
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document.write( "the only positive root is t= 6 minutes.\r\n" );
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document.write( "Answer.  6 minutes for the large pipe to fill the tank, and 6 + 8 = 14 minutes for the small pipe.\r\n" );
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\n" ); document.write( "For a wide variety of similar solved joint-work problems with detailed explanations see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Rate of work and joint work problems\" of the section \"Word problems\".\r
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