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

  • question_answer
    Pipe A can fill an empty tank in 6 h and pipe B in 8 h. If both the pipes are opened and after 2 h pipe A is closed, how much time B will take to fill the remaining tank? [SSC CGL Tier II, 2015]

    A) \[2\frac{1}{3\,}\,h\]

    B) \[3\frac{1}{3}\,h\]

    C) \[2\frac{2}{5}\,h\]

    D) \[2\frac{2}{5}\,h\]

    Correct Answer: B

    Solution :

    [b] Let t h be taken by B to fill the reaming tank. Then, according to the question, \[\frac{2}{6}+\frac{t+2}{8}=1\]             \[\Rightarrow \] \[16+6\,t+12=48\]             \[\Rightarrow \]   \[28+6\,t=48\]             \[\Rightarrow \]   \[6\,t=48-28\]             \[\Rightarrow \]   \[t=\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}\,h\]


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