Question : In an office, 75 employees can finish a project in 60 days. After a few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave?
Option 1: 50
Option 2: 45
Option 3: 30
Option 4: 40
Correct Answer: 40
Solution :
75 employees ⇒ 60 days
Total work done = 75 × 60
Let $x$ be the number of days 75 employees work together.
Total number of days = 65
$65-x$ = number of days 60 employees work together.
⇒ $75x + (65-x)×60 = 75 × 60$
⇒ $75x - 60x + 65 × 60 = 75 × 60$
⇒ $15x = 10 × 60$
⇒ $x = \frac{600}{15} = 40$
Hence, the correct answer is 40.
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