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Discussion :: Pipes and Cistern

  1. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

  2. A.

    1 hour

    B.

    2 hours

    C.

    6 hours

    D.

    8 hours

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    Answer : Option C

    Explanation :

    Let the cistern be filled by pipe A alone in x hours.

     

    Then, pipe B will fill it in (x + 6) hours.

     

     \( \frac { 1 } {X }\)+\( \frac { 1 } {(X+6) }\)=\( \frac { 1 } {4 }\)

     

    \( \frac { X+6+X } { X(X+6) }\)=\( \frac { 1 } {4 }\)

     

     x2 - 2x - 24 = 0

     

     (x -6)(x + 4) = 0

     

     x = 6.     [neglecting the negative value of x]


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