1) To complete a work, A take 50% more time than B. If together they take 18 days to complete the work, How much time shall B take to do it? A) 30 days B) 35 days C) 40 days D) 45 days E) 50 days Answer: Option AExplanation:Let $B$ take $x$ days to complete the work . Then $A$ takes $x+\frac{x}{2}$ $=\frac{3x}{2}$ days to complete the work Given $\frac{1}{x}+\frac{2}{3x}$ $=\frac{1}{18}$ $\Leftrightarrow x=\frac{18\times 5}{3}$ = 30 days.
