# 20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work together

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20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work together

a)5c/6

b)c/6

c) 6c/5

$20 \ men \rightarrow \frac{c}{2} \ days \\\Rightarrow one \ day \ work \rightarrow \frac{2}{c} \\30 \ men \rightarrow \frac{c}{3}\ days \\\Rightarrow one \ day \ work \rightarrow \frac{3}{c}$

$\\\Rightarrow \ Working \ together \ one \ day \ work \rightarrow\frac{5}{c} \\ Total \ Days \ would \ be \ : \frac{c}{5}$ [

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