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    Question

    A contractor assigned 18 laborers to complete a task in 16

    days. Unfortunately, 6 laborers left after 6 days. How many additional days will be required to finish the work?
    A 5 days Correct Answer Incorrect Answer
    B 4 days Correct Answer Incorrect Answer
    C 3 days Correct Answer Incorrect Answer
    D 7 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let each laborer's efficiency be 'e' units/day

    Total work = 18 Γ— 16 Γ— e = 288e units

    Work done in 6 days = 18 Γ— 6 Γ— e = 108e units

    Remaining work = 288e - 108e = 180e units

    Laborers left = 18 - 6 = 12

    Time required = 180e Γ· (12 Γ— e) = 15 days

    Extra days = 15 - 10 = 5 days

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