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  4. Quantitative Aptitude
  5. Pipes & Cisterns

Railways Quantitative Aptitude Pipes & Cisterns Sample Paper Pipes and Cisterns Sample Test Paper-11

  • question_answer
    Two pipes A and B can fill a tank in 12 and 16 minutes respectively. Both pipes are opened together but 4 minutes before the tank is full, one pipe is closed. How much time will they take to fill the tank?

    A)  \[9\frac{2}{7}\] Min     

    B)  \[9\frac{4}{7}\]Min

    C)  \[9\frac{1}{7}\] Min     

    D)  \[9\frac{3}{7}\] Min

    Correct Answer: C

    Solution :

    [c] Let both pipes open for x min. \[\therefore \] \[\left( \frac{1}{12}+\frac{1}{16} \right)\times x+\frac{1}{16}\times 4=1\] \[\frac{7x}{48}=\frac{3}{4}\] \[x=\frac{36}{7}\,\min \] Total time \[=4+\frac{36}{7}=\frac{64}{7}\] \[=9\frac{1}{7}\,\min \]


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