A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. 10 days
  2. 8 days
  3. 9 days
  4. 7 days

Answer (Detailed Solution Below)

Option 2 : 8 days
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Detailed Solution

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Given:

A can finish a work = 20 days

B can complete the same work = 15 days

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
3 A 20 60
4 B 15

According to the question:

⇒ B × 9 + A × D = 60

⇒ 4 × 9 + 3 × D = 60

⇒ 3D = (60 - 36) = 24

D = 24/3 = 8 days

∴ The correct answer is 8 days.

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