document.write( "Question 1124621: One pipe can fill a tank in 45 mins. and another pipe can fill it in 30 mins. If these two pipes are open and a third pipe is draining water from the tank, it takes 27 mins. to fill the tank. How long will it take the third pipe alone to empty a full tank? \n" ); document.write( "

Algebra.Com's Answer #740948 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "From the condition,\r\n" );
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document.write( "    the filling rate of the 1-st pipe is    of the tank volume per minute.\r\n" );
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document.write( "    the filling rate of the 2-nd pipe is    of the tank volume per minute.\r\n" );
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document.write( "Let X be the draining rate of the 3-rd pipe.\r\n" );
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document.write( "Then the balance equation is\r\n" );
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document.write( "     +  - X = ,\r\n" );
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document.write( "so  X =  +  -  =  =  = .\r\n" );
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document.write( "It means that the 3-rd tube will empty full tank in 54 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical joint work problem.\r
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\n" ); document.write( "\n" ); document.write( "There is a wide variety of similar solved joint-work problems with detailed explanations in this site. 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
\n" ); document.write( "\"Rate of work and joint work problems\" of the section \"Word problems\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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