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    Question

    'B' is 37.5% more productive than 'A'. Together, they

    can finish a task in 40 days. How many days would it take for 'A' alone to complete the entire task?
    A 95 days Correct Answer Incorrect Answer
    B 80 days Correct Answer Incorrect Answer
    C 120 days Correct Answer Incorrect Answer
    D 69(10/11) days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let efficiency of ‘A’ be ‘8x’ units per day Efficiency of ‘B’ = 1.375 × 8x = 11x units per day Total work = (11x + 8x) × 40 = (19x × 40) units Desired time = (19x × 40)/8x = 95 days

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