A) 30 days
B) 35 days
C) 40 days
D) 45 days
Correct Answer: A
Solution :
Let B alone can do the work in x days. \[\therefore \] A can do the work in \[\frac{3x}{2}\] days. According to the question, \[\frac{1}{x}+\frac{2}{3x}=\frac{1}{18}\]\[\Rightarrow \]\[\frac{3+2}{3x}=\frac{1}{18}\]\[\Rightarrow \]\[\frac{5}{3x}=\frac{1}{18}\] \[\Rightarrow \] \[3x=18\times 5\] \[\Rightarrow \] \[x=\frac{18\times 5}{3}=30\,\,\text{days}\]
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