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2 men and 3 women together or 4 men can complete a piece of work in 20 days. 3 men and 3 women will complete the same work in =

a) 12 day
b) 16 day
c) 18 days
d) 19 days

Answer: b
Explanation: According to the question,
$$\eqalign{ & {\text{2m}} + {\text{3w}} = {\text{4m}} \cr & {\text{3w}} = {\text{4m}} – {\text{2m }} \cr & {\text{3w}} = {\text{2m}} \cr & {\text{3m}} + {\text{3w}} = {\text{3m}} + {\text{2m}} \cr & {\text{3m}} + {\text{3w}} = {\text{5m}} \cr} $$
4 men can do work in 20 days
1 men can do work in 20 × 4 days
5 men can do work in $$\frac{{{\text{20}} \times {\text{4}}}}{5}$$  = 16 days

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