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    Question

    A task can be completed in 10 days by a team of 6 men

    and 8 boys. The same task can also be completed in 2 days by 26 men and 48 boys. How long will it take for a group consisting of 15 men and 20 boys to complete the same task?
    A 5 days Correct Answer Incorrect Answer
    B 3 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 4 days Correct Answer Incorrect Answer

    Solution

    Let efficiency of a men and a boy is тАШxтАЩ units per day and тАШyтАЩ units per day.

    According to question:

    (6x + 8y) ├Ч 10 = (26x + 48y) ├Ч 2

    30x + 40y = 26x + 48y

    4x = 8y

    x = 2y

    Total work = (6x + 8y) ├Ч 10 = 20y ├Ч 10 = 200y units

    Efficiency of 15 men and 20 boys = 15x + 20y = 50y per day

    Require time = 200y/50y = 4 days

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