Question

    Person A can complete 25% of a job in 4 days. Person B is

    20% less efficient than Person A. How many days will it take for both A and B, working together, to complete 90% of the job?
    A 12 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 4 days Correct Answer Incorrect Answer

    Solution

    ‘A’ can complete whole work alone in 4/0.25 = 16 days

    ‘B’ can complete the whole work in = 16/0.80 = 20 days

    Let the total work = 80 units

    Efficiency of ‘A’ = 80/16 = 5 units/day

    Efficiency of ‘B’ = 80/20 = 4 units/day

    Required time taken = 0.9 × 80/(5 + 4) = 8 days

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