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SSC Quantitative Aptitude Pipes & Cisterns Question Bank Pipe and Cistern (II)

  • question_answer
    Two pipes can fill a tank in 10 h and 16 h, respectively. A third pipe can empty the tank in 32 h. If all the three pipes function simultaneously, then in how much time (in h) the tank will be full?

    A) \[7\frac{11}{21}\]

    B) \[7\frac{13}{21}\]

    C) \[8\frac{4}{21}\]

    D) \[6\frac{5}{14}\]

    Correct Answer: B

    Solution :

    [b] Part of the tank filled by all the  three pipes together in 1 h \[=\frac{1}{10}+\frac{1}{16}-\frac{1}{32}=\frac{21}{160}\] So, tank will be filled in \[\frac{160}{21}\,h\] i.e., in\[7\frac{13}{21}\,h.\]


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