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    Question

    An organization engaged 16 workers to complete a task in 24

    days. After 9 days, 6 workers had to leave unexpectedly. How many additional days will it now take to complete the work?
    A 5 days Correct Answer Incorrect Answer
    B 4 days Correct Answer Incorrect Answer
    C 3 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of each worker be 'e' units/day

    Total work = 16 × 24 × e = 384e units

    Work done in 9 days = 16 × 9 × e = 144e units

    Remaining work = 384e - 144e = 240e units

    Remaining workers = 16 - 6 = 10

    Time needed = 240e ÷ (10 × e) = 24 days

    Extra days = 24 - 15 = 9 days

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