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    Question

    Ritu completes 50% of a project in 25 days, while Sheetal

    completes 40% in 32 days. Ritu works for 30 days and then stops. Find the time Sheetal needs to finish the pending work.
    A 48 days Correct Answer Incorrect Answer
    B 60 days Correct Answer Incorrect Answer
    C 32 days Correct Answer Incorrect Answer
    D 72 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Time taken by Ritu to complete whole work = (25 / 0.50) = 50 days

    Time taken by Sheetal to complete whole work = (32 / 0.40) = 80 days

    Let the total work be 400 units (LCM of 50 and 80)

    Efficiency of Ritu = (400 / 50) = 8 units/day

    Efficiency of Sheetal = (400 / 80) = 5 units/day

    Work completed by Ritu in 30 days = 30 × 8 = 240 units

    Remaining work = 400 - 240 = 160 units

    Therefore, required time = (160 / 5) = 32 days

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