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

  • question_answer
    Three fill pipes A, B and C can fill separately a cistern in 3, 4 and 6 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?

    A)  \[2\frac{1}{9}\] Min     

    B)  \[4\frac{1}{2}\] min

    C)  \[3\frac{3}{4}\] Min     

    D)  None of these

    Correct Answer: A

    Solution :

    [a] Let cistern will be full in x min. Then, Part filled by A in x min + part filled by B in (x ? 1) min + part filled by C in (x ? 2) min = 1 \[\Rightarrow \]\[\frac{x}{3}+\frac{x-1}{4}+\frac{x-2}{6}=1\Rightarrow 9x=19\] \[\Rightarrow \] \[x=\frac{19}{9}=2\frac{1}{9}\min \]


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