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Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes If all of them work together find the time taken to fill the tank?
Volume = Gallons/Minute x Minutes ==> V = Rt V = 20a = 30b = 40c Express a and b in terms of c: a = 2c b = 4c/3 With all pipes open, the fill rate becomes: R = a+b-c R = 2c+4c/3-c R = 7c/3 Time required is Volume / Fill Rate: t = V/R t = 40c/(7c/3) t = 120/7 t = 17.14 minutes
What else can I help you with?
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We're guessing that the question is trying to ask:If one pipe can fill the tank in 9 minutes, and another pipecan empty the tank in 12 minutes, how long does it take thetank to fill if both pipes are open ?So that's the question we'll go ahead and answer.The first pipe fills 1/9th of the tank every minute.The second pipe empties 1/12th of the tank every minute.When they're both open, (1/9 - 1/12) of the tank fills every minute.(1/9) - (1/12) = (4/36) - (3/36) = 1/36Since 1/36th of the tank fills every minute, it takes 36 minutes to fill.
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