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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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