document.write( "Question 981916: It takes 120 minutes for a hose to fill a swimming pool. If the pool drain is open, it takes 360 minutes to fill the pool. If the pool is full, the hose is off, and drain is open, how many minutes does it take to empty the pool? \n" ); document.write( "
Algebra.Com's Answer #602826 by josmiceli(19441)\"\" \"About 
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Rate of filling with just the hose:
\n" ); document.write( "[ 1 pool filled ] / [ 120 min ]
\n" ); document.write( "Let \"+r+\" = the rate that the
\n" ); document.write( "drain by itself empties the pool
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\n" ); document.write( "Add the rates of the hose and the drain
\n" ); document.write( "open together, but make the drain's rate
\n" ); document.write( "negative ( emptying )
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\n" ); document.write( "\"+1%2F120+-+r+=+1%2F360+\"
\n" ); document.write( "\"+r+=+-+3%2F360+%2B+1%2F360+\"
\n" ); document.write( "\"+r+=+-1%2F180+\" ( it's negative, as it should be )
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\n" ); document.write( "So, the drain by itself empties 1 pool in
\n" ); document.write( "180 min by itself
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\n" ); document.write( "Check:
\n" ); document.write( "\"+1%2F120+-+r+=+1%2F360+\"
\n" ); document.write( "\"+1%2F120+-+1%2F180+=+1%2F360+\"
\n" ); document.write( "\"+3%2F360+-+2%2F360+=+1%2F360+\"
\n" ); document.write( "\"+1%2F360+=+1%2F360+\"
\n" ); document.write( "OK
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