Correct Answer - Option 1 : 3 days
Given:
Time taken by 12 men to do a task = 16 days
Time taken by 32 women to do the same task = 12 days
Formulas used:
Total work = (No of persons) × Time
Calculation:
12 men × 16 days = 32 women × 12 days
⇒ 1 Man = 2 Women
Total work in terms of men = 12 × 16 = 192 units
Work done by (8 men + 8 women) in 12 days = (8 men + 4 men) × 12 = 12 × 12 = 144 units
Remaining work after which women left = 192 units - 144 units = 48 units
Now, 8 more men joined, total men will be (8 + 8) = 16
∴ No of days taken by 16 men to complete the remaining task = 48 units/16
⇒ 3 days