In a company ABC Ltd. a certain number of engineers can develop a design in 40 days. If there were 5 more engineers, it could be finished in 10 days less. How many engineers were there in the beginning ? 

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  1. 18 
  2. 20 
  3. 25 
  4. 15

Answer (Detailed Solution Below)

Option 4 : 15
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Given:

Let original number of engineers = x

Original time = 40 days

New time = 30 days (10 days less)

New number of engineers = x + 5

Concept used:

Work = Men × Days (Work is constant)

Calculations:

x × 40 = (x + 5) × 30

⇒ 40x = 30x + 150

⇒ 40x − 30x = 150

⇒ 10x = 150

⇒ x = 15

∴ The original number of engineers was 15.

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