Question

3 men and 18 women together take 2 days to complete a piece of work. How many days will 9 women alone take to complete the piece of work; if 6 men alone can complete the piece of work in 3 days?

Accepted Answer

B. Work done by 6 men in 3 days $= 18m$. Work done by $(3m + 18w)$ in 2 days $= 6m + 36w$. Since total work is equal: $$18m = 6m + 36w \implies 12m = 36w \implies m = 3w$$ Total work $= 18(3w) = 54w$. Time taken by 9 women $= \frac{54w}{9w} = 6$ days.

Time and Work Men and Women

Explanation

Practise this under exam conditions