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    Pipe A can fill a tank in 15 hours, pipe B can fill the same tank in 27 hours and pipe C can fill the same tank in 10 hours. The time taken by them to
    Question

    Pipe A can fill a tank in 15 hours, pipe B can fill the same tank in 27 hours and pipe C can fill the same tank in 10 hours. The time taken by them to fill the same tank if they operate together is::

    A.

    810118\frac{10}{11}​hours

    B.

    910119\frac{10}{11}​ hours

    C.

    410114\frac{10}{11}​hours

    D.

    12101112\frac{10}{11}​hours

    Correct option is C

    Given:

    Pipe A fills tank in 15 hours

    Pipe B fills tank in 27 hours

    Pipe C fills tank in 10 hours

    Find time when all three work together.

    Solution:

    A + B + C rates = 115+127+110\frac{1}{15} + \frac{1}{27} + \frac{1}{10}​​

    18+10+27270\frac{18 + 10 + 27}{270}​​

    55270 \frac{55}{270}​​

    Time = 155/270=27055=41011 \frac{1}{55/270} = \frac{270}{55} = 4\frac{10}{11}​ hours

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