Question

    A man completes a work in 16 days. A woman finishes half of

    that work in 10 days. How many days will they take together to finish 75% of the work?
    A 15.5 days Correct Answer Incorrect Answer
    B 17.2 days Correct Answer Incorrect Answer
    C 6.67 days Correct Answer Incorrect Answer
    D 9.6 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Time taken by the woman to finish the entire work = 10 ÷ 0.5 = 20 days

    Let the total work be 80 units. {LCM of (16 and 20)}

    So, efficiency of the man = 80 ÷ 16 = 5 units/day

    And efficiency of the woman = 80 ÷ 20 = 4 units/day

    So, required time = (80 × 0.75) ÷ (5 + 4) = 6.67 days

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