A) \[6\frac{1}{5}days\]
B) \[7\frac{2}{13}days\]
C) \[9\frac{3}{13}days\]
D) \[7\frac{5}{11}days\]
E) None of these
Correct Answer: C
Solution :
According to the question, (3M + 2W)8 = (2M + 3W)6 or, 24M + 16W = 12M + 18W or, 12M = 2W \[\therefore \text{1W=6M}\] Now, \[{{\text{M}}_{\text{1}}}{{\text{D}}_{\text{1}}}\text{:}{{\text{M}}_{\text{2}}}{{\text{D}}_{\text{2}}}\] \[\text{(1M+2W) }\!\!\times\!\!\text{ D=(3M+2W)}\times \text{8}\] or,\[\text{13M }\!\!\times\!\!\text{ D=(3M+12M) }\!\!\times\!\!\text{ 8}\] \[\therefore \text{D=}\frac{15\times 8}{13}\] \[\therefore x=\frac{120}{13}days=9\frac{3}{13}days\]
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