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    Question

    18 men, working 8 hours a day, can complete a task in

    21 days. If a woman is 33(1/3)% less efficient than a man, how much time will it take for 24 women, working 6 hours a day, to complete the same task?
    A 36.5 days Correct Answer Incorrect Answer
    B 24.5 days Correct Answer Incorrect Answer
    C 31.5 days Correct Answer Incorrect Answer
    D 27.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of a man be '3e' units/day. Efficiency of a woman = (2/3) X 3e = '2e' units/day Let the required time be 'T' days. So, 18 X 8 X 21 X 3e = 24 X 6 X T X 2e Or, 'T' = (63/2) = 31.5

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