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

  • question_answer
    A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. The cistern can hold

    A)  7860 litres        

    B)  6840 litres

    C)  8640 litres        

    D)  8840 litres

    Correct Answer: C

    Solution :

    [c] In 1 hour, empty partHehhhhhx\[=\frac{1}{8}th.\] When tap is turned on, then Empty part in 1 hour\[=\frac{1}{12}th.\] \[\therefore \] Part of cistern emptied, due to leakage in 1 hour\[=\frac{1}{8}-\frac{1}{12}=\frac{3-2}{24}=\frac{1}{24}th\] Now, in 1 min, cistern fill = 6 lit \[\therefore \] In \[\frac{1}{60}hr,\] cistern fill = 6 lit. \[\therefore \] Cistern can hold \[=6\times 60\times 24\,\,\,litre=8640\,\,\,litre.\]


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