CCommunity
Given: 3 men or 4 women completes a work in 120 days
⇒ Time taken by 12 men to complete the work = (120/12) × 3 = 30 days
⇒ Time taken by 16 women to complete the work = (120/16) × 4 = 30 days
⇒ Time taken by 12 men and 16 women to complete the work = 1/[(1/30) + (1/30)]
⇒ Time taken by 12 men and 16 women to complete the work = 15 days
∴ the correct option is 3)