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18 men and 36 women can level an area of 810 sq. in 6 days. The ratio of the areas that each man and each woman can level in the same amount of time is `3:1`. Find the number of dayss is which 22 men adn 14 women can level an area of 120 sq. m.A. 8B. 12C. 9D. 10 |
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Answer» Correct Answer - D Let the areas that each man and each woman can level (in sq. m.) b m/day and q/day respectively. Area that 18 men and 36 women can level each day `=(18m+36w)` sq.m. `:. 6(18m+36w)=810` `18m+36w=135` Given : `(m)/(w)=(3)/(1), i.e.,m=3w` `:. 18(3w)+36w=135` `90w-135` `w=(3)/(2)` `:. m=(9)/(2)` Let the required number of days be d `d(22m+14w)=1200` `d(22((9)/(2))+14((3)/(2)))=1200` `rArr120 d=122 rArrd=10` |
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