A) \[1\frac{1}{3}\]
B) \[3\frac{2}{3}\]
C) 3
D) \[1\frac{1}{2}\]
Correct Answer: D
Solution :
Work done by 1 woman is 8 hours = work done by 1 man in 6 hours = work done by 1 boy in 12 hours \[\Rightarrow \]8 women = 6 men = 12 boys \[\Rightarrow \]4 women = 3 men = 6 boys Now, 12 men +12 women +12 boys = \[\left( 12+\frac{3}{4}\times 12+\frac{3}{6}\times 12 \right)\] men = 27 men Now, \[{{M}_{1}}{{d}_{1}}{{T}_{1}}={{M}_{2}}{{d}_{2}}{{T}_{2}}\] \[\Rightarrow 9\times 6\times 6=27\times 8\times {{d}_{2}}\] \[\therefore \,\,\,\,\,\,\,\,{{d}_{2}}\frac{9\times 6\times 6}{27\times 2}=\frac{3}{2}days=\mathbf{1}\frac{\mathbf{1}}{\mathbf{2}}\]
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