SOLUTION: A certain pipe can fill up a tank 2 hours faster than onother pipe. It takes 3 hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tan

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A certain pipe can fill up a tank 2 hours faster than onother pipe. It takes 3 hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tan      Log On


   

Question 1169037: A certain pipe can fill up a tank 2 hours faster than onother pipe. It takes 3 hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tank?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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    rate%5B1%5D + rate%5B2%5D = 1%2F3


    1%2Fx     + 1%2F%28x%2B2%29 = 1%2F3


    3*(x+2)  + 3x = x*(x+2)

    3x  + 6  + 3x = x^2 + 2x

    x^2 - 4x - 6 = 0


    Solve using the quadratic formula.