Correct Answer - Option 1 : 3 days
Given:
Number of work completed by 16 men = 12 days
Number of work completed by 12 women = 32 days
Number of work completed by 16 men and 16 women together = 4 days
Formula used:
Work = Efficiency × Time
Calculation:
According to the question
⇒ 16m × 12 = 12w × 32
⇒ m = 2w
Total work = 16m × 12 = (16 × 1 × 12)
⇒ 192
Work done by 16 men and 16 women = 4 days
⇒ 16 women = 8 men
Thus, the number of men complete the work in 4 days = [(16 + 8) × 4]
⇒ (24 × 4)
⇒ 96
Work remaining = (192 – 96)
⇒ 96
Total men to complete the remaining work = [96/(16 + 16)]
⇒ (96/32) days
⇒ 3 days
∴ Required time to complete the remaining work by men is 3 days
