30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will they now take to complete the remaining work? 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. \(3\frac{1}{3}\) days
  2. \(3\frac{2}{3}\) days
  3. \(3\frac{1}{2}\) days
  4. \(2\frac{1}{3}\) days

Answer (Detailed Solution Below)

Option 1 : \(3\frac{1}{3}\) days
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Detailed Solution

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Given:

30 men can complete a work = 12 days

Formula used:

Total work = efficiency × time

Calculation:

Let, the efficiency of a man = M

According to the question:

⇒ (30 × M × 6) + (54 × M × D) = 30 × M × 12

⇒ (54 × M × D) = 30 × M × 6

⇒ D = (30 × 6)/54 = 10/3 

⇒ D = 3\(\frac{1}{3}\) days

∴ The correct answer is 3\(\frac{1}{3}\) days.

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