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2 men and 5 women can do a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

36 days

21 days

30 days

42 days

Explanation:

As per the questions,
(2M + 5W) × 12 ≡ (5M + 2W) × 9
⇒ 24 M + 60 W ≡ 45 M + 18 W
⇒ 42 W ≡ 21 M
⇒ 2W ≡ 1M
∴ 2M + 5W ≡ 9W
∴ M₁D₁ = M₂D₂
⇒ 9 × 12 = 3 × D₂
⇒ D₂ = 9 x 12 /3 = 36 days

By: Amit Kumar

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