document.write( "Question 1015856: A warm water faucet can fill a bathtub in 30 minutes. If the warm water faucet and cold water faucet are both turned on. The tub can be filled in just 18 minutes. How long will it take the cold water faucet working alone to fill the tub? \n" ); document.write( "
Algebra.Com's Answer #632251 by Alan3354(69443) You can put this solution on YOUR website! A warm water faucet can fill a bathtub in 30 minutes. If the warm water faucet and cold water faucet are both turned on. The tub can be filled in just 18 minutes. How long will it take the cold water faucet working alone to fill the tub? \n" ); document.write( "---------------- \n" ); document.write( "The warm faucet fills 1/30 of the tub/minute. \n" ); document.write( "The cold takes t minutes alone. \n" ); document.write( "The cold fills 1/t of the tub/minute. \n" ); document.write( "--- \n" ); document.write( "Together, they fill (1/30 + 1/t) of the tub/minute. \n" ); document.write( "1/30 + 1/t = 1/18 \n" ); document.write( "(t + 30)/30t = 1/18 \n" ); document.write( "18(t+30) = 30t \n" ); document.write( "18t + 540 = 30t \n" ); document.write( "12t = 540 \n" ); document.write( "t = 45 minutes \n" ); document.write( " |