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A man and a woman can complete a task in 8 and 12 days respectively. In how many days will 2 men and 3 women be able to complete the task?
1. 5
2. 3
3. 4
4. 2

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Correct Answer - Option 4 : 2

Given:

Time is taken by a man to do a task = 8 days 

Time is taken by a woman to do a task = 12 days 

Formula used:

Total work = (No of persons) × (No of days) 

Calculation:

1 man × 8 days = 1 woman × 12 days 

⇒ 8 Man = 12 Woman

⇒ 2 Man = 3 Woman 

Total work in terms of women =  1 × 2 × 12 = 24 units

2 Man + 3 Woman = 3 women + 3 women = 6 women 

∴ Time taken by 6 women to complete the task = 24/(6 × 2) 

⇒ 2 days 

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