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    Question

    A builder employed 12 workers to complete a job in 18 days.

    But after 8 days, 4 workers quit. How many more days will be required to complete the remaining 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 the efficiency of each worker be 'e' units/day.

    So, total work = 12 × 18 × e = 216e units

    And work done in first 8 days = 12 × 8 × e = 96e units

    So, work left = 216e - 96e = 120e units

    Now, remaining workers = 12 - 4 = 8

    So, time needed = 120e ÷ (8 × e) = 15 days

    Additional days = 15 - 10 = 5 days

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