Pratima and Diksha can complete a typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work?  

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 8
  2. 10
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 3 : 9
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Detailed Solution

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Given:

Pratima can do a typing work alone = 10 hours

Diksha can do a typing work alone = 15 hours

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
3 Pratima 10 30
2 Diksha 15

According to the question:

⇒ Pratima × 4 + Diksha × H = 30

⇒ 3 × 4 + 2 × H = 30

⇒ 2 × H = 30 - 12

⇒ H = 18/2 = 9 hours

∴ The correct answer is 9 hours.

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