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    Question

    Binny is 20% more efficient than

    Ankush, while Ankush is 50% more efficient than Raju. If the three of them—Ankush, Binny, and Raju—working together can finish a task in 45 days, how many days will Binny need to complete 72% of the same task on his own?
    A 65.9 days Correct Answer Incorrect Answer
    B 22.5 days Correct Answer Incorrect Answer
    C 77.4 days Correct Answer Incorrect Answer
    D 89.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let efficiency of Raju is 10x units per day Efficiency of Ankush = 1.5 × 10x = 15x units per day Efficiency of Binny = 1.2 × 15x = 18x units per day Total work = (10x + 15x + 18x) × 45 = 43x × 45 units Time taken by Binny alone = (0.72 × 43x × 45)/18x = 77.4 day

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