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    Question

    15 men working 9 hours daily can finish a task in 36

    days, while 18 women working 6 hours a day complete the same task in 72 days. How many days will 6 men and 3 women working 9 hours a day take to finish the job?
    A 28 days Correct Answer Incorrect Answer
    B 48 days Correct Answer Incorrect Answer
    C 72 days Correct Answer Incorrect Answer
    D 56 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of a man and a woman be 'M' and 'W' units/day respectively. 15 × 9 × 36 × M = 18 × 6 × 72 × W Or, M : W = 2 : 1 Let M = 2e and W = e Total work = 15 × 9 × 36 × 2e = 9720e units Required time = 9720e ÷ [(6 × 2e + 3 × e) × 9] = 9720e ÷ 135e = 72 days

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