4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 20
  2. 16
  3. 25
  4. 18

Answer (Detailed Solution Below)

Option 2 : 16
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Detailed Solution

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Given:

(4 men + 6 women) can complete a work = 8 days

(3 men + 7 women) can complete a work = 10 days

Formula used:

Total work = efficiency × time

Calculation:

⇒ (4 men + 6 women) × 8 = (3 men + 7 women) × 10

​ 2 men = 22 women

⇒ Men/women = 11/1

Total work = (3 men + 7 women) × 10

⇒ {(3 × 11) + (7 × 1)} × 10 

⇒ (33 + 7) × 10 = 400

Time taken by 25 women to complete the work = 400/25 = 16 days

∴ The correct answer is 16 days.  

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