document.write( "Question 1117460: the hot water faucet can fill a bathtub in 9 min and the cold water faucet can fill the bathtub in 12 min. the drain can empty the bathtub in 18 min. if the bathtub is empty, how long will it take to fill the bathtub if both hot and cold faucets are on and the drain is open??? \n" ); document.write( "
Algebra.Com's Answer #732540 by ikleyn(52847)\"\" \"About 
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document.write( "The hot water faucet fills  \"1%2F9\" of the bathtub volume per minute.\r\n" );
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document.write( "The cold water faucet fills  \"1%2F12\" of the bathtub volume per minute.\r\n" );
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document.write( "The drain takes out  \"1%2F18\"  of the bathtub volume per minute.\r\n" );
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document.write( "The net inflow rate is  \"1%2F9+%2B+1%2F12+-+1%2F18\" = \"4%2F36+%2B+3%2F36+-+2%2F36\" = \"5%2F36\"  of the bathtub volume per minute.\r\n" );
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document.write( "Hence, it will take  \"36%2F5\" minutes = \"7\"\"1%2F5\" minutes = 7 minutes and 12 seconds to fill the bathtub \r\n" );
document.write( "if both hot and cold faucets are on and the drain is open.\r\n" );
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\n" ); document.write( "It is a typical and standard 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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