document.write( "Question 807710: If three pipes are all opened, they can fill an empty swimming pool in 3 hours. The largest pipe alone takes 1/3 the time that the smallest pipe takes and half the time the other pipe takes. How long would it take each pipe to fill the pool by itself?
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Algebra.Com's Answer #711491 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the rate of the largest pipe.\r\n" );
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document.write( "Then, according to the condition, the rate of the smallest pipe is ,  while the rate of the medium pipe is  of the tank volume per hour.\r\n" );
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document.write( "The equation is \r\n" );
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document.write( " +  +  = ,   or\r\n" );
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document.write( " +  +  = ,\r\n" );
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document.write( " =   ====>  Multiply both sides by 6  ====>\r\n" );
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document.write( "6x + 3x + 2x = 2  ====>  11x = 2  ====>  x = .\r\n" );
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document.write( "Thus the largest pipe will fill the tank in  = 5.5 hours.\r\n" );
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document.write( "Then the smallest pipe will fill it in 5.5*3 = 16.5 hours, and\r\n" );
document.write( "     the medium   pipe will fill it in 5.5*2 = 11 hours.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. 5.5 hours for the largest pipe;   16.5 hours for the smallest pipe;   and 11 hours for the medium pipe.\r
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\n" ); document.write( "It is a 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( "Save the link to this online textbook together with its description\r
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\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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