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SSC Sample Paper SSC (Group-C) Sample Test Paper-7

  • question_answer
    Two pipes. P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together. but at the end of 3 minutes, 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 minutes 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 \[Q=\frac{11}{20}\times 15=\frac{33}{4}\]\[=8\frac{1}{4}\] minutes


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