document.write( "Question 1072941: a pipe can fill a water tank in 8 hours. Due to a leak in the bottom of the water tank it is filled in 10 hours. If the water tank is full how much time will the leak take to empty it?
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Algebra.Com's Answer #687785 by ikleyn(52781)\"\" \"About 
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document.write( "Let P be the rate of the pipe (in the unit \"tank volume per hour\").\r\n" );
document.write( "Let L be the rate of the leak (in the same unit).\r\n" );
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document.write( "Then you have two equations:\r\n" );
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document.write( "P - L = \"1%2F10\"    (1)   (The pipe fills the tank in 10 hours, when the leak is in action).\r\n" );
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document.write( "P = \"1%2F8\".        (2)   (\"The pipe can fill a water tank in 8 hours.\")\r\n" );
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document.write( "Substitute (2) into equation (1). You will get\r\n" );
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document.write( "\"1%2F8\" - L = \"1%2F10\"  --->  L = \"1%2F8+-+1%2F10\" = \"5%2F40-4%2F40\" = \"1%2F40\".\r\n" );
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document.write( "So, due to the leak, amount of water of \"1%2F40\" of the tank volume goes out.\r\n" );
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document.write( "It means, that the full tank will become empty in 40 hours due to the leak.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical joint work problem.\r
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\n" ); document.write( "\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
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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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