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    Question

    'Sunil', 'Arjun', and 'Rahul' can complete a task

    individually in 45, 60, and 90 days respectively. All began the work together, but Sunil and Arjun left 11 and 6 days before work completion respectively. Calculate the total time to finish the task. (Calculate approximate value)
    A 65 days Correct Answer Incorrect Answer
    B 13 days Correct Answer Incorrect Answer
    C 78 days Correct Answer Incorrect Answer
    D 27 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 180 units (LCM of 45, 60, 90)

    Efficiency of Sunil = 180 / 45 = 4 units/day

    Efficiency of Arjun = 180 / 60 = 3 units/day

    Efficiency of Rahul = 180 / 90 = 2 units/day

    Let total time = n days

    (4 + 3 + 2)(n - 11) + (3 + 2)(5) + 2(6) = 180

    Or, 9n - 99 + 25 + 12 = 180

    Or, 9n = 242

    So, n = 242 / 9 = 26.88 ≈ 27 days

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