2 men can finish a work in 6 days and 3 women can finish the same work in 4 days. In how many days will the work be finished by 1 man and 2 women, working together every day?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. 4
  2. 6
  3. 8
  4. 9

Answer (Detailed Solution Below)

Option 1 : 4
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Detailed Solution

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Given:

2 men can finish the work = 6 days

3 woman can finish the work = 4 days

Formula used:

Total work = efficiency × time

Calculation:

Let the efficiency of a man = M

and the efficiency of woman = W

According to the question:

⇒ 2M × 6 = 3W × 4

⇒ M/W = 1/1

Total work = 3W × 4 = 3 × 1 × 4 = 12 units 

Time taken to complete the work by 1 man and 2 woman = 12/(1 + 2)

⇒ 12/3 = 4 days

∴ The correct answer is 4 days.  

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