Question

    A, B, and C together can complete a task in 24 days. A

    and B together can complete it in 36 days, and B and C together can complete it in 48 days. How many days will it take for A alone to complete the task?
    A 72 days Correct Answer Incorrect Answer
    B 60 days Correct Answer Incorrect Answer
    C 54 days Correct Answer Incorrect Answer
    D 48 days Correct Answer Incorrect Answer

    Solution

    Let the rates of A, B, and C be A, B, and C respectively. A + B + C = 1/24 A + B = 1/36 B + C = 1/48 Subtract (B + C) from (A + B + C): A = (1/24 - 1/48) = 1/48. A = 1/48. So, A alone will take 48 days to complete the task. Correct Option: d

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