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    Question

    A’ and β€˜B’ together can complete a work in 20 days

    while β€˜A’ takes 30 days to complete the same work alone. If β€˜C’ is 60% more efficient than β€˜B’, then find the time taken by β€˜C’ alone to complete the whole work.
    A 30.5 days Correct Answer Incorrect Answer
    B 35.5 days Correct Answer Incorrect Answer
    C 37.5 days Correct Answer Incorrect Answer
    D 31.5 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 60 units Efficiency of (A + B) = 60/20 = 3 units/day Efficiency of β€˜A’ = 60/30 = 2 unit/day Therefore, efficiency of β€˜B’ = 3 – 2 = 1 units/day Efficiency of β€˜C’ = 1.6 Γ— 1 = 1.6 units/day Required time taken = 60/1.6 = 37.5 days

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