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    Question

    14 women working 8 hours a day

    can complete a piece of work in 30 days. What is the time taken by 28 men working 5 hours a day to complete the work if the efficiency of a woman is 30% less than that of a man?
    A 25.5 days Correct Answer Incorrect Answer
    B 12.8 days Correct Answer Incorrect Answer
    C 16.8 days Correct Answer Incorrect Answer
    D 22.5 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of a man be '5a' units/day. So, the efficiency of a woman = 0.70 × 5 = '3.5a' units/day. Total work = 14 × 3.5a × 8 × 30 = '11760a' units. So, time taken by 28 men working 5 hours a day to complete the work: = 11760a ÷ (28 × 5a × 5) = 16.8 days.

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