A stock of food is enough for 315 men for 48 days. For how many days the same stock of food is enough, if 45 more men join?

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SSC GD Constable (2022) Official Paper (Held On : 27 Jan 2023 Shift 3)
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  1. 46
  2. 42
  3. 48
  4. 44

Answer (Detailed Solution Below)

Option 2 : 42
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Detailed Solution

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Given:

Stock of food is enough for 315 men for 48 days

Concept:

We need to find how many days the same stock of food will last if 45 more men join.

Solution:

Let the number of days the stock will last when 45 more men join be D.

Using the concept of the inverse relationship between the number of men and the number of days:

⇒ Men × Days = Constant

⇒ (315 + 45) × D = 315 × 48

Solving this equation, we find:

⇒ D = (315 × 48)/(360)

⇒ D ≈ 42

Therefore, the same stock of food will last approximately 42 days if 45 more men join.

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