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    Question

    A' can finish a job in 24 days, while 'B' is 25% less

    efficient than 'A.' If they take turns working, beginning with 'A,' how many days will it take for them to complete 87.5% of the task?
    A 10 days Correct Answer Incorrect Answer
    B 24 days Correct Answer Incorrect Answer
    C 15 days Correct Answer Incorrect Answer
    D 20 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by ‘B’ to complete the work = 24/0.75 = 32 days Let the total work = 96 units Efficiency of ‘A’ = 96/24 = 4 units/day Efficiency of ‘B’ = 96/32 = 3 units/day Work to be done = 0.875 × 96 = 84 units Work completed by ‘A’ and ‘B’ in 2 days = (4 + 3) = 7 units Therefore, to complete 84 units of work time required = 2 × (84/7) = 24 days

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