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    If 5 men or 9 boys can finish a task in 92 days, then how much time will 20 men and 10 boys take to finish the same task?
    Question

    If 5 men or 9 boys can finish a task in 92 days, then how much time will 20 men and 10 boys take to finish the same task?

    A.

    27 days

    B.

    36 days

    C.

    18 days

    D.

    9 days

    Correct option is C

    Given:

    5 men or 9 children can finish a task in 92 days.

    Formula Used:

    Total work done = number of days ×\times efficiency

    Solution:

    Let efficiency of man = m

    Let efficiency of boys = b

    According to question

    5×m=9×b5\times m = 9 \times b​​

    m:b =9:5

    Total work done = 92×5×992\times 5\times9=4140

    Efficiency of  20 men and 10 boys =20×9+10×5 20\times9+10\times5​ =230

    Time take to complete the work = 4140/230 = 18 days

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