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    Question

    A and B can complete a task in 6 days working together.

    A alone works twice as fast as B. If A works alone for 2 days and B finishes the rest, how many more days does B take?
    A 48 days Correct Answer Incorrect Answer
    B 22 days Correct Answer Incorrect Answer
    C 14 days Correct Answer Incorrect Answer
    D 32 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    A = 2B rate

    β†’ together 1/6

    β†’ (2B + B)/6 = 1

    β†’ 3B = 1/6

    β†’ B = 1/18, A = 1/9 Work done by A in 2 days = 2/9 β†’ Remaining = 7/9 β†’ Time by B = (7/9) Γ· (1/18) = 14 days

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