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    Question

    'A' can complete a certain task in 60 days, while 'B'

    can do the same in 45 days. 'A' starts the task and works alone for 18 days, after which 'B' joins him. How many more days will it take to finish the remaining work?
    A 18 days Correct Answer Incorrect Answer
    B 20 days Correct Answer Incorrect Answer
    C 15 days Correct Answer Incorrect Answer
    D 16 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total amount of the work = 180 units = LCM of (60 and 45) Efficiency of ‘A’ = 180/60 = 3 units Efficiency of ‘B’ = 180/45 = 4 units Amount of the work done by ‘A’ alone in 18 days = (18 × 3) = 54 units Remaining work = (180 – 54) = 126 units Required time taken = {126/(3 + 4)} = 18 days

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