document.write( "Question 689418: 2. with both hot and cold water running a bath tub can be filled in 8 minuts. the drain will empty the tub in 10 minuts. a child turns both faucets and leaves the drain open. how long will it be before the bath tub starts to over flow? \n" ); document.write( "

Algebra.Com's Answer #425948 by Edwin McCravy(20056) $\"\"$ $\"About$

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2. with both hot and cold water running a bath tub can be filled in 8 minuts. the drain will empty the tub in 10 minuts. a child turns both faucets and leaves the drain open. how long will it be before the bath tub starts to over flow?\r
\n" ); document.write( "\n" ); document.write( "one pipe can fill a swimming pool in 10 hours. if a second pipe is used
\n" ); document.write( "together with the first pipe, the pool can be filled in 6 hours. how long would
\n" ); document.write( "it take the second pipe alone to fill the pool?
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document.write( "Since nowhere in the problem is just one of the faucets on and the other off,\r\n" );
document.write( "we can just speak of the pair of faucet's filling rate.  There is no need to\r\n" );
document.write( "separate them.\r\n" );
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document.write( "We are given the pair of faucets' filling rate as 1 tub per 8 minutes, or\r\n" );
document.write( " or .\r\n" );
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document.write( "We are given the drain's \"filling\" rate as -1 tub per 10 minutes, or\r\n" );
document.write( " or .\r\n" );
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document.write( "[Note that we must make the drain's filling rate negative!]\r\n" );
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document.write( "We let X = the number of hours it takes for the pair of faucets and\r\n" );
document.write( "the drain to fill the tub.\r\n" );
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document.write( "So we can say the combined filling rate is 1 tub per X hours, or\r\n" );
document.write( " or .\r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "      .\r\n" );
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document.write( "              ()\r\n" );
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document.write( "Solve that by getting an LCD of 40X\r\n" );
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document.write( "Edwin

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