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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    Two pipes, P and Q can fill a cistern in 12 min and 15 min respectively. Both are opened together, but at the end of 3 min, P is turned off. In how many more minutes will Q fill the cistern?      

    A)      7

    B)  \[7\frac{1}{2}\]

    C)  8

    D)  \[8\frac{1}{4}\]

    Correct Answer: D

    Solution :

    Part of the tank filled in 3 min by pipes P and Q \[=3\left( \frac{1}{12}+\frac{1}{15} \right)=3\left( \frac{5+4}{60} \right)=\frac{3\times 9}{60}=\frac{9}{20}\] Remaining part \[=1-\frac{9}{20}=\frac{11}{20}\] \[\therefore \] Time taken by \[Q=\frac{11}{20}\times 15=\frac{33}{4}=8\frac{1}{4}\]min


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