If 3 men or 4 women can built a wall in 43 days, in how many days can 7 men and 5 women build this wall?

16 days
25 days
21 days
12 days

Correct Answer: 12 days

Explanation:

3 men = 4 women
∴ 1 man = 4/3 women
∴ 7 men + 5 women = 7 x (4/3) + 5 = 43/3 women
∴ M₁D₁W₂ = M₂D₂W₁
∴ 4 x 43 x 1 = (43/3) x D₂ x 1
∴ D₂ = 3 x 4 = 12 days

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