A) \[9\frac{1}{2}\] days
B) \[13\frac{1}{2}\] days
C) \[14\frac{3}{4}\] days
D) 12 days
Correct Answer: B
Solution :
\[\because \]10 men \[\equiv \]18 boys \[\therefore \]5 men \[\equiv \] 9 boys \[\therefore \]15 men \[\equiv \] 27 boys \[\therefore \]15 men + 13 boys = (27 +13) boys = 40 boys \[\therefore \,\frac{{{M}_{1}}D{{ & }_{1}}}{{{W}_{1}}}=\frac{{{M}_{2}}{{D}_{2}}}{{{W}_{2}}}\] \[\Rightarrow \]\[\frac{18\times 15}{1}=\frac{40\times {{D}_{2}}}{2}\] \[\Rightarrow \]\[40\times {{D}_{2}}=2\times 18\times 15\] \[\Rightarrow \]\[{{D}_{2}}=\frac{2\times 18\times 15}{40}\] \[=13\frac{1}{2}\]days
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