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Banking Sample Paper IBPS Clerk (PT) Sample Paper Test-2

  • question_answer
    Pipe Q can fill a water tank in 8 hours, Pipe R can fill the same tank in 12 hours and Pipe S-can empty the tank in 24 hours. If all three pipes are opened together in how many hours will the tank be completely filled or empty?       

    A) 5.5 hours                     

    B)  3.5 hours         

    C)  6 hours

    D) 7 hours

    E) 6.5 hours

    Correct Answer: C

    Solution :

    If all pipes are opened together, in one hour they will fill \[\frac{1}{8}+\frac{1}{12}-\frac{1}{24}=\frac{3+2-1}{24}=\frac{1}{6}\] Part of the Tank. Hence the tank will completely fill in 6 hours. Method II. LCM of 8, 12 and 24 = 24 \[\therefore \]Total capacity of tank = 24 units \[\therefore \] Pipe Q fills in one hour \[\frac{24}{8}\] = 3 unit/hour R fills in one hour\[=\frac{24}{12}=2\] units/h S empties in one hour\[=\frac{24}{24}=1\] unit/h Time taken to fill the tank \[=\frac{24}{3+2-1}\] = 6 hours


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