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

  • question_answer
    Two pipes can fill a tank in 15 h and 12 h respectively and a third pipe can empty it in 4 h. If the pipes be opened in order at 8 am, 9 am and 11 am respectively, the tank will be emptied at

    A) 11 : 40 am

    B) 12 : 40 pm

    C) 1 : 40 pm

    D) 2 : 40 pm

    Correct Answer: D

    Solution :

    [d] Let the tank be emptied' in x h after 8 am. Work done by A in x h, by B in (\[x-1\]) h and by C in (\[x3\]) \[\Rightarrow \] \[\frac{x}{15}+\frac{(x-1)}{12}-\frac{(x-3)}{4}=0\] \[\Rightarrow \] \[4x+5\,(x-1)-15\,(x-3)=0\] \[\Rightarrow \] \[6x=40\] \[\Rightarrow \] \[x=\frac{20}{3}\,h\] \[\Rightarrow \] x = 6 h 40 min after 8 am Hence, the tank will be emptied at 14 h 40 min, i.e., 2 : 40 pm


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