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    Question

    'Amit', 'Ravi', and 'Neha' can finish a piece of work in

    66, 99, and 132 days respectively. They all started the work, but Amit left 8 days before the work ended and Ravi left 4 days before. Find total days to complete the work. (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 35 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 1188 units (LCM of 66, 99, 132)

    Efficiency of Amit = 1188 / 66 = 18 units/day

    Efficiency of Ravi = 1188 / 99 = 12 units/day

    Efficiency of Neha = 1188 / 132 = 9 units/day

    Let total time = n days

    (18 + 12 + 9)(n - 8) + (12 + 9)(4) + 9(4) = 1188

    Or, 39n - 312 + 84 + 36 = 1188

    Or, 39n = 1380

    So, n = 1380 / 39 = 35.38 ≈ 35 days

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