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    Question

    ‘D’ can type a document in 45 days, but ‘D’ and

    ‘E’ together can do it in 27 days. If ‘E’ worked for 15 days alone and then left, in how many days will ‘D’ finish the rest?
    A 20 days Correct Answer Incorrect Answer
    B 38 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 35 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total work = 135 {L.C.M of 45 and 27}

    Efficiency of ‘D’ = 135 ÷ 45 = 3 units/day

    Combined efficiency of ‘D’ and ‘E’ = 135 ÷ 27 = 5 units/day

    So, efficiency of ‘E’ = 5 – 3 = 2 units/day

    Work done by ‘E’ in 15 days = 2 × 15 = 30 units

    Remaining work = 135 – 30 = 105 units

    Time taken by ‘D’ = 105 ÷ 3 = 35 days

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