A building may be repaired in 15 days by 27 individuals working 4 hours every day. How many days will it take 20 employees working nine hours per day to do the task? 

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MP Excise Constable Official paper (Held On: 20 Feb 2023 Shift 3)
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  1. 3 days
  2. 9 days 
  3. 10 days
  4. 15 days

Answer (Detailed Solution Below)

Option 2 : 9 days 
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Detailed Solution

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Given:

A building may be repaired in 15 days by 27 individuals working 4 hours every day.

Formula used:

Work = Number of Individuals × Number of Days × Number of Hours

Calculations:

Work done by 27 individuals in 15 days working 4 hours/day:

⇒ Work = 27 × 15 × 4

Now, let the number of days required for 20 employees working 9 hours/day be D.

⇒ Work = 20 × D × 9

Since the amount of work is the same, we can set the equations equal:

⇒ 27 × 15 × 4 = 20 × D × 9

⇒ 1620 = 180D

⇒ D = 1620 ÷ 180

⇒ D = 9 days 

∴ The correct answer is option (2).

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