30. 4 men and 6 women can complet a...
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30. 4 men and 6 women can complet a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? (1) 50 days (2) 45 days (3) 40 days (4) 35 days

11th - 12th Class
Maths
Solution
313
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( frac{4}{M}+frac{6}{w}=frac{1}{8} quadleft(begin{array}{c}y-n 0 cdot text { of days taker } 101,2end{array}right. ) ( frac{3}{M}+frac{7}{w}=frac{1}{10} ) ( frac{12}{(-)^{frac{12}{M}}+frac{18}{w}}=frac{3}{8}left(x text { by }^{3}right) ) erejob ( frac{frac{12}{M}+frac{28}{w}=frac{4}{10}(x operatorname{by} 4)}{frac{-10}{w}=frac{3}{8}-frac{4}{10}} ) ( begin{aligned} frac{10}{w} &=frac{2}{5}-frac{3}{8} frac{10}{w} &=frac{16-15}{40} w &=frac{400}{1} text { days } end{aligned} ) Days taken by 10 W ( Rightarrow frac{1}{t}=frac{10}{(400)} ) ( t=40 ) days
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