document.write( "Question 795464: It takes 5 minutes to fill a sink. When full, the sink drains in 10 minutes. How long will it take to fill the sink if you forget to put in the stopper? \n" ); document.write( "
Algebra.Com's Answer #480993 by josmiceli(19441)\"\" \"About 
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Add the positive rate of filling to the
\n" ); document.write( "negative rate of draining to get the
\n" ); document.write( "rate when you are both filling and
\n" ); document.write( "draining
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\n" ); document.write( "Rate of filling:
\n" ); document.write( "( 1 sink full ) / ( 5 min )
\n" ); document.write( "Rate of draining:
\n" ); document.write( "( 1 sink drained ) / ( 10 min )
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\n" ); document.write( "Let \"+t+\" = time to fill sink while
\n" ); document.write( "both filling and draining
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\n" ); document.write( "\"+1%2F5+-+1%2F10+=+1%2Ft+\"
\n" ); document.write( "( note that if the right side is positive,
\n" ); document.write( "the result is filling, not draining )
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\n" ); document.write( "Multiply both sides by \"+10t+\"
\n" ); document.write( "\"+2t+-+t+=+10+\"
\n" ); document.write( "\"+t+=+10+\"
\n" ); document.write( "It will it take 10 min to fill the sink if
\n" ); document.write( "you forget to put in the stopper\r
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