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    Question

    A, B, and C together can do a

    project in (64/7) days. B and C together need (96/9) days, and C alone completes half in 8 days. Find A : B (efficiency).
    A 5:4 Correct Answer Incorrect Answer
    B 1:2 Correct Answer Incorrect Answer
    C 2:3 Correct Answer Incorrect Answer
    D 7:5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    1/A + 1/B + 1/C = 1/(64/7) = 7/64 C alone complete the whole work = 8 × 2 = 16 days 1/A = 7/64 – 3/32 = 7/64 – 6/64 = 1/64 1/B = 3/32 – 1/16 = (3 – 2)/32 = 1/32 A alone complete the work = 64 days B alone complete the work = 32 days Required ratio = (1/64) : (1/32) = 1 : 2

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