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

  • question_answer
    Three pipes A, B and C can fill a tank from empty to fall in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?

    A)  \[\frac{3}{11}\]            

    B)  \[\frac{6}{11}\]

    C)  \[\frac{4}{11}\]

    D)  \[\frac{7}{11}\]

    Correct Answer: B

    Solution :

    [b] Part filled by (A + B + C) in 3 minutes \[=3\left( \frac{1}{30}+\frac{1}{20}+\frac{1}{10} \right)=3\times \frac{11}{60}=\frac{11}{20}\] Part filled by C in 3 minutes\[=\frac{3}{10}\] \[\therefore \] Required ratio\[=\frac{\frac{3}{10}}{\frac{11}{20}}=\frac{3}{10}\times \frac{20}{11}=\frac{6}{11}\]


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