Question : 25 employees can finish work in 20 days. After how many days should 10 employees leave the job so that the work is finished in 30 days?
Option 1: 7 days
Option 2: 6 days
Option 3: 3 days
Option 4: 5 days
Correct Answer: 5 days
Solution :
Given, 25 employees can finish work in 20 days.
According to the question,
Total work = 25 × 20 = 500 units
Let us assume that 10 employees leave after $x$ days.
⇒ Work done in $x$ days = $25x$
Now, (25 – 10) = 15 employees work for (30 – $x$) days.
⇒ Work done in (30 – $x$) days = 15(30 – $x$)
According to the question,
⇒ $25x+15(30-x)=500$
⇒ $25x+450-15x=500$
⇒ $10x=500-450$
⇒ $10x=50$
⇒ $x=5$ days
Hence, the correct answer is 5 days.
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