Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days. If they work on alternative days starting with Sudha on the first day, then in how many days will the work be completed?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 40
  2. 60
  3. 48
  4. 45

Answer (Detailed Solution Below)

Option 3 : 48
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Detailed Solution

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Given:

Ravi can do a piece of work = 40 days

Sudha can do the same work = 60 days

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
3 Ravi 40 120
2 Sudha 60

According to the question:

⇒ (Sudha + Ravi) = 2 days

⇒ (2 + 3) = 5 units = 2 days

⇒ 5 × 24 = 120 units = 2 × 24 = 48 days.

∴ The correct answer is 48 days.

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