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    Question

    A is thrice as efficient as B and can finish a piece of

    work in 28 days less than B. B can finish this work in how many days?
    A 40 days Correct Answer Incorrect Answer
    B 42 days Correct Answer Incorrect Answer
    C 22 days Correct Answer Incorrect Answer
    D 20 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of efficiency of A and B = 3: 1
    A will take 1/3 of time as compared to B.
    Say, B takes 3x days and A takes x days.
    ∴ 3x – x = 28 ⇒ x = 14
    ∴ B takes 14 × 3 = 42 days to do the work.

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