EX.5. To complete a work, A takes 5...
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EX.5. To complete a work, A takes 50% more time than B. If together they take 18 days to com- plete the work, how much time shall B take to do it? (1) 30 days (2) 35 days (3) 40 days (4) 45 days

11th - 12th Class
Maths
Solution
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sol. (1) Let B alone can do the work in ( x ) days. ( therefore A ) can do the work in ( frac{3 x}{2} ) days. According to the question, ( frac{1}{x}+frac{2}{3 x}=frac{1}{18} ) ( Rightarrow frac{3+2}{3 x}=frac{1}{18} Rightarrow frac{5}{3 x}=frac{1}{18} ) ( Rightarrow 3 x=18 times 5 ) ( Rightarrow x=frac{18 times 5}{3}=30 ) days
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