- 14 days
- 9 days
- 13 days
- 12 days

Option 2 : 9 days

**Given:**

7 men and 5 women can complete work in 9 days.

5 men and 6 women can complete work in 12 days.

**Calculation:**

Let efficiency of man be M unit and efficiency of woman be W unit

Let the number of days taken be 14 women and 6 men be x

According to the question

Total work = (7M + 5W) × 9 ---(1)

Total work = (5M + 6W) × 12 ---(2)

⇒ (7M + 5W) × 9 = (5M + 6W) × 12

⇒ 21M + 15W = 20M + 24W

⇒ M = 9W

Substituting this in one of the above equations, we have

Total work = 612W

⇒ 612W = (14W + 6M) × x

⇒ 612W = (14W + 54W) × x

⇒ 612W = 68W × x

⇒ x = 9

**∴ 9 days taken by 14 women and 6 men to complete the work.**

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