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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
    Two pipes A and B can fill a tank in 24 min and 32 min, respectively. If both the pipes are opened together, after how much time B should be closed so that the tank is full in 18 min?

    A) 6

    B)  8      

    C)  9

    D)  4

    Correct Answer: B

    Solution :

      Let B be closed after x min. Then, [Part filled by (A + B) in x min]+ Pan filled by A in \[(18-x)\,\,min=1\] \[\therefore \]\[x\left( \frac{1}{24}+\frac{1}{32} \right)+(18-x)\times \frac{1}{24}=1\] \[\Rightarrow \]\[\frac{7x}{96}+\frac{18-x}{24}=1\]\[\Rightarrow \]\[7x+4\,\,(18-x)=96\] \[\Rightarrow \]\[3x=24\]\[\Rightarrow \]\[x=8\] Hence, B should be closed after 8 min.


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