document.write( "Question 1156127: One hose can fill a pool in 8 hours, another hose can fill the pool in 6hrs. If both hoses are turned on, and a drain that can empty the pool in 24 is left open, can the pool ever get filled? If so, how long would it take? \n" ); document.write( "

Algebra.Com's Answer #778808 by ikleyn(52824) $\"\"$ $\"About$

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document.write( "One hose fills    of the tank volume per hour.\r\n" );
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document.write( "Another hose fills    of the tank volume per hour.\r\n" );
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document.write( "Working together, these hoses fill   =  =   of the tank volume per hour.\r\n" );
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document.write( "The draining pipe takes off  of the tank volume per hour.\r\n" );
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document.write( "You see that inflow rate of two hoses is greater than the outflow rate of the draining pipe.\r\n" );
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document.write( "Therefore, the net inflow rate is positive; so tank will be steadily filled.\r\n" );
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document.write( "    Notice that even each single hose brings more water that the draining pipe takes off,\r\n" );
document.write( "    so there is no ANY doubts that the tank will be filled - it is out of the question.\r\n" );
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document.write( "Now, the precise net inflow rate is   =  =   of the tank volume per hour.\r\n" );
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document.write( "So, the tank will be filled in 4 hours, if both hoses and draining pipe are turned on.\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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