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    Question

    A firm assigned 10 technicians to complete an assignment in

    30 days. After 12 days of work, 4 technicians were moved to another location. What is the extension in the deadline?
    A 15 days Correct Answer Incorrect Answer
    B 14 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 19 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let efficiency of each technician = 'e' units/day

    Total work = 10 × 30 × e = 300e units

    Work done in 12 days = 10 × 12 × e = 120e units

    Remaining work = 300e - 120e = 180e units

    Remaining technicians = 10 - 4 = 6

    Time needed = 180e ÷ (6 × e) = 30 days

    Extra days = 30 - 18 = 12 days

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