Question : A few men can do a piece of work in 60 days. The work could be finished 20 days earlier if there were six more men. The number of men working is:
Option 1: 6
Option 2: 12
Option 3: 18
Option 4: 24
Correct Answer: 12
Solution :
Given: Certain men can do a piece of work in 60 days.
Let the certain number of men be $x$.
Total work done $= 60x$
Time taken by $(x+6)$ to complete the work = (60 – 20) = 40 days
As per given condition,
⇒ $60x=(x+6)×40$
⇒ $60x=40x+6×40$
⇒ $60x-40x=240$
⇒ $20x=240$
⇒ $x=\frac{240}{20}=12$
Hence, the correct answer is 12.
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