Question

    25 men and 45 women can complete a piece of work in 15

    days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work
    A 8days Correct Answer Incorrect Answer
    B 5days Correct Answer Incorrect Answer
    C 6days Correct Answer Incorrect Answer
    D 2days Correct Answer Incorrect Answer

    Solution

    25M + 45W =15 days   Þ 5M + 9W = 75 days   15 M + 60W = 20 days   Þ 1M + 4W ® 300 days 300(1M + 4W) = 75(5M + 9W)    4M + 16W = 5M + 9W  7W = M W /M=1/7 Total work = 300 × (7 + 4) = 3300 units Now- 69 man + 67 women = 3300 / (69 × 7 + 67) = 6 days

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