2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in ? 

A  18 days 

B  21 days 

C  24 days 

D  30 days 

Solution

Correct Answer: Option B

Solution: 11 boys can do the work in = 14 days 

           So, 1 boy can do it in = 14 \( \times \) 11 days 

          Then 22 boys can do it in = 14 \( \times \) 11/ 22 = 7 days  

 Hence, the required number of days to do thrice the work is = 7\( \times \) 3 = 21 

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