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SSC Sample Paper SSC (Group-C) Sample Test Paper-6

  • question_answer
    Two pipes. P and Q can fill a cistern in 12 and 15 minutes respectively. If both are opened together and at the end of 3 minutes, the first is closed. how much longer will the cistern take to fill?

    A)  5 minutes                   

    B)  \[8\frac{1}{2}\] minutes

    C)  \[8\frac{1}{4}\]minutes        

    D)       \[8\frac{3}{4}\] minutes

    Correct Answer: C

    Solution :

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


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