A certain number of men completed a work in 60 days. If there were 8 more men, work could have been completed in 10 less days. How many men were there?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 40
The same work needs the same number of man-days (men × days), whoever does it. So the man-days of the actual plan equal the man-days with 8 more men in 10 fewer days.
Let the number of men be m; equal man-days give \(60m=(m+8)\times50\)
Solving the equation: \(60m=50m+400\), so \(10m=400\) and \(m=40\)