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    Question

    Pipes A and B can fill an empty tank in 6 and 8 hours

    respectively, while pipe C can empty the full tank in 10 hours. If all three pipes are opened together, then the tank will get filled in:
    A 6(1/5) hrs Correct Answer Incorrect Answer
    B 7(1/2) hrs Correct Answer Incorrect Answer
    C 4 (4/23) hrs Correct Answer Incorrect Answer
    D 5 (5/23) hrs Correct Answer Incorrect Answer

    Solution

    Pipe A (+)         pipe B (+)          pipe C (-) 6                      8                      10                         120 (LCM of 6,8,10)-total 20                    15                    12.       (efficiency) Tank fill in 1 hour =20+15-12=23unit. In 5 hours =23×5=115 unit Remaining empty tank. =120-115=5. 5 units fill in the tank in 5/23 hours. Total hours =5+5/23=5(5/23).

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