A) \[2\frac{1}{2}\] days
B) \[1\frac{1}{2}\] days
C) \[3\frac{1}{2}\] days
D) None of these
Correct Answer: B
Solution :
Given, 8 Women = 6 Men = 12 Boys \[\therefore \]12 Men + 12 Women + 12 Boys = 12 Men + 9 Men + 6 Men = 27 Men We have, \[{{M}_{1}}=9,\,\,{{D}_{1}}=6,\,\,{{t}_{1}}=6,\,\,{{w}_{1}}=1\] \[{{M}_{2}}=27,\,\,{{D}_{2}}=?,\,\,{{t}_{2}}=8,\,\,{{w}_{2}}=1\] \[\therefore \] \[{{M}_{1}}{{D}_{1}}{{t}_{1}}{{w}_{2}}={{M}_{2}}{{D}_{2}}{{t}_{2}}{{w}_{1}}\] \[\Rightarrow \] \[9\times 6\times 6\times 1=27\times {{D}_{2}}\times 8\times 1\] \[\Rightarrow \] \[{{D}_{2}}=\frac{3}{2}\] days or \[1\frac{1}{2}\] days
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