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

  • question_answer
    A tap can fill a tank in 6 h. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

    A) 3 h 15 min

    B) 3 h 45 min

    C) 4 h

    D) 4 h 15 min

    Correct Answer: B

    Solution :

    [b] Time taken by the tap to make the tank half-full = 3 h Remaining part\[=\frac{1}{2}\] Part filled by 4 taps in 1 h \[=\left( 4\times \frac{1}{6} \right)=\frac{2}{3}\] \[\frac{2}{3}\] part is filled in 1 h. \[\frac{1}{2}\] part is filled in\[\left( \frac{3}{2}\times \frac{1}{2} \right)\,h\] \[=\frac{3}{4}\,h=45\min \] Required time \[=3\,h\,\,45\min \]


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