If 12 man or 18 women can do piece of work in 14 days. How

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If 12 man or 18 women can do piece of work in 14 days. How long will 8 men and 16 women take to finish the work?

1. 9 days
2. 12 days
3. 13 days
4. 10 days

Correct Option: A

12 men =18 women
⇒ 1 man = 18/12 women
⇒ 8 men = 18/12 x 8 = 12 women
Given m₁ = 18 M₂ = 12 +16 = 28,
D₁ , D₂ = ? and W₁ = W₂ = 1
According to the formula
M₁D₁W₂ = M₂D₂W₁
⇒ 18 x14 x1= 28 x D₂ x1
∴ D₂ = (18 x 14)/28 = 9 days