# SOLUTION: A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is ope

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is ope      Log On

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 Question 601332: A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is open, how long will it take to fill the tub?Answer by lwsshak3(6456)   (Show Source): You can put this solution on YOUR website!A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is open, how long will it take to fill the tub? ** 1/6 =work rate of cold water tap 1/8=work rate of hot water tap 1/10=work rate of drain let x=minutes to fill tub when both taps and drain are open .. x/6+x/8-x/10=100%=1 LCD:120 20x+15x-12x=120 23x=120 x=120/23 ≈5.22 minutes ans: Time it takes to fill tub when both taps and drain are open=5.22 minutes