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SSC Sample Paper Mock Test-1 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)  \[13\frac{1}{2}\]h   

    C)  15 h                            

    D)  21 h

    Correct Answer: A

    Solution :

    Pan filled in \[110\,\,\text{h}=\frac{1}{10}\left[ \frac{1}{15}+\frac{1}{20}-\frac{1}{25} \right]=\frac{35}{30}\] 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 h


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