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 Choose the correct choice from the following choices
A) 33	B) 21	C) 17	D) 28	E) 10
Explanation:   (2\times 14) men +(7\times 14)boys=(3\times 11)men+(8\times 11)boys   Leftrightarrow 5 men= 10 boys Leftrightarrow 1man= 2 boys   (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys   ( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.   Let the required number of days be x.   More boys , Less days (Indirect proportion)   More work , More days (Direct proportion)   begin{matrix} 21oys\: 22:11\Work\: 1:3 end{::14:x   (22\times 1\times x)=(11\times 3\times 14) Leftrightarrow {462}{22}=21   Hence, the required number of days = 21   Answer: 21
<result>B</result>
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