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SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

  • question_answer
    A pipe can fill a tank in 'x' hours and another pipe can empty it in 'y' \[(y>x)\]hours. If both the pipes are open, in how many hours will the tank be filled?

    A)  \[r=\frac{6}{2}=3\,\,\text{cm}\]

    B)  \[(y-x)\,\,\text{hours}\]

    C)  \[\frac{xy}{x-y}\text{hours}\]

    D)  \[\frac{xy}{y-x}\text{hours}\]

    Correct Answer: D

    Solution :

    Part of the tank filled in 1 h \[=\frac{1}{x}\] Part of the tank emptied in 1 h \[=\frac{1}{y}\] Part of the tank filled in 1 h when both are opened \[=\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}\] \[\therefore \] Tank will be filled in \[\frac{xy}{y-x}\text{h}\text{.}\]


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