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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    Two pipes P and Q can fill a tank in 15 h and 20 h, respectively while a third pipe R can empty the full tank in 25 h. All the three pipes are opened in the beginning. After 10 h, R is closed. The time taken to fill the tank is

    A)          12 h

    B)  \[13\frac{1}{2}\,\,\text{h}\]

    C)  15 h                

    D)  21 h

    Correct Answer: A

    Solution :

    Part filled in 10 h \[=\frac{1}{10}\left[ \frac{1}{15}+\frac{1}{20}-\frac{1}{25} \right]=\frac{23}{30}\] Remaining part \[=\left[ 1-\frac{23}{30} \right]=\frac{7}{30}\] \[\left[ \frac{1}{15}+\frac{1}{20} \right]\]part is filled by P and Q in 1 h \[\frac{7}{30}\]part will be filled by them in \[\left[ \frac{60}{7}\times \frac{7}{30} \right]\]= 2 h \[\therefore \]Total time taken \[=(10+2)=12\,\,\text{h}\]                        


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