document.write( "Question 404877: Hi I am needing some help on this word problem please. \r
\n" ); document.write( "\n" ); document.write( "A sink can be filled by the cold water facuet in 3 mins. The drain can empty a full sink in 4 mins. If the sink is empty and both the cold water facuet and the drain are open, how long will it take the sink to overflow.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much
\n" ); document.write( "

Algebra.Com's Answer #286104 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
This is a rate problem.
\n" ); document.write( "Add the rates to get the resulting rate.
\n" ); document.write( "Filling the sink in a (+) rate
\n" ); document.write( "Emptying the sink is a (-) rate
\n" ); document.write( "The best way to understand it is
\n" ); document.write( "to express solution in words.
\n" ); document.write( "(1 sink filled)/(minutes to fill sink) - (1 sink drained)/(minutes to drain sink) = (1 sink filled)/(minutes to fill sink w/drain and faucet open)
\n" ); document.write( "\"1%2F3+-+1%2F4+=+1%2Fx\"
\n" ); document.write( "Multiply both sides by \"12x\"
\n" ); document.write( "\"4x+-+3x+=+12\"
\n" ); document.write( "\"x+=+12\"
\n" ); document.write( "It takes 12 min for the sink to overflow with faucet
\n" ); document.write( "and drain open
\n" ); document.write( "
\n" ); document.write( "
\n" );