# SOLUTION: Pipe A can fill a tank in 2 hours and Pipe B can fill ii in half the it takes Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool. How much time is requi

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Pipe A can fill a tank in 2 hours and Pipe B can fill ii in half the it takes Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool. How much time is requi      Log On

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 Word Problems: Rate of work, PAINTING, Pool Filling Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rate-of-work-word-problems Question 143381This question is from textbook algebra: structure and method: book1 : Pipe A can fill a tank in 2 hours and Pipe B can fill ii in half the it takes Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool. How much time is required for Pipe C to empty the tank? PLEASE HELP! The answer is 6 hours, but I don't know how to get there. HELP MUCH APPRECIATED!!This question is from textbook algebra: structure and method: book1 Answer by ankor@dixie-net.com(15649)   (Show Source): You can put this solution on YOUR website!Pipe A can fill a tank in 2 hours and Pipe B can fill it in half the time it takes Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool. How much time is required for Pipe C to empty the tank? : Let t = time required for Pipe C to empty the tank: : It says, "Pipe B can fill it in half the time it takes Pipe C to empty it." therefore: Let .5t = time for Pipe B to fill the tank : Let the full pool = 1 : Filling is positive, emptying is negative: : + - = 1 Multiply equation 2t, to get rid of the denominators: 1.5t + 1.5(4) - 1.5(2) = 2t(1) : 1.5t + 6 - 3 = 2t : 1.5t - 2t = +3 - 6 : -.5t = -3 t = t = +6 hrs for the pipe to empty a full pool : : Check solution using original equation: + - = .75 + .5 - .25 = 1; confirms our solution