Question

Twelve men can complete a task in 16 days. Thirty-two women can complete the same task in 12 days. Eight men and eight women together worked for 12 days, after which the women dropped and 8 men joined. In how many days the men will be able to complete the remaining task?
1. 3 days
2. 9 days
3. 10 days
4. 2 days

Answer 1

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