document.write( "Question 31642: When a bathtub faucet is turned on (and the drain is shut), it can fill a tub in 6 minutes; when the drain is open, a full bathtub can empty in 11 minutes. How long would it take for the bathtub to fill if the water were turned on with the drain left open? \n" ); document.write( "
Algebra.Com's Answer #18282 by mbarugel(146)\"\" \"About 
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\n" ); document.write( "You might want to see my lesson on this subject.\r
\n" ); document.write( "\n" ); document.write( "If the tub can be filled in 6 minutes with the faucet turned on, then the faucet fills 1/6 of the tub per minute.\r
\n" ); document.write( "\n" ); document.write( "Similarly, if a full tub can be emptied in 11 minutes when the drain is open, then the drain \"fills\" -1/11 of the tub per minute (filling a negative amount would be equivalent to draining it)\r
\n" ); document.write( "\n" ); document.write( "Therefore, when they are both working, they can fill:\r
\n" ); document.write( "\n" ); document.write( "\"1%2F6+%2B+%28-1%2F11%29+=+1%2F6+-+1%2F11+=+%2811-6%29%2F66+=+5%2F66\" of the tub per minute.\r
\n" ); document.write( "\n" ); document.write( "Based on this, we condlude that it will take 66/5 = 13.2 minutes to fill an empty tub when the faucet is turned on and the drain is open.\r
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\n" ); document.write( "\n" ); document.write( "I hope this helps!
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