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    Question

    β€˜A’ alone can complete a work in 40 hours. β€˜A’

    started the work alone and left after working on it for 20 hours. If β€˜B’ completed the rest of the work in 20 hours then find the time taken by β€˜A’ and β€˜B’ together to complete the whole work.
    A 10 hours Correct Answer Incorrect Answer
    B 15 hours Correct Answer Incorrect Answer
    C 20 hours Correct Answer Incorrect Answer
    D 18 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work = 300 units Then, efficiency of β€˜A’ = (300/40) = 7.5 units/hour Work completed by β€˜A’ alone in 20 hours = 7.5 Γ— 20 = 150 units Remaining work = 300 – 150 = 150 units So, efficiency of β€˜B’ = 150/20 = 7.5 units/hour Therefore, combined efficiency of β€˜A’ and β€˜B’ = 7.5 + 7.5 = 15 units/hour So, time taken by β€˜A’ and β€˜B’ together to complete the work = (300/15) = 20 hours

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