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    Question

    The efficiency ratio of Neha, Karan, and Ishaan is

    16:11:14, respectively. Together, they can complete a task in 30 days. Neha and Karan started the task, but after 20 days, Karan was replaced by Ishaan. In how many days was the entire task completed?
    A 40 days Correct Answer Incorrect Answer
    B 54 days Correct Answer Incorrect Answer
    C 43 days Correct Answer Incorrect Answer
    D 19 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiencies of Neha, Karan, and Ishaan be 16x, 11x, and 14x units/day, respectively.

    Total work = (16x + 11x + 14x) × 30 = 1230x units

    Work done by Neha and Karan in 20 days = 20 × (16x + 11x) = 540x units

    Remaining work = 1230x – 540x = 690x units

    Time taken by Neha and Ishaan together = 690x / (16x + 14x) = 690x / 30x = 23 days

    Total time to finish the work = 20 + 23 = 43 days

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