A certain number of men can finish a piece of work in 100 days. If there were 10 fewer men, it would take 10 days more for the work to be finished. How many men were there initially?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 110
The total work, measured in man-days (men \(\times\) days), is the same in both cases. Let the number of men at first be \(n\).
Work at first \(=100n\) man-days
With 10 fewer men taking 10 days more \(=110(n-10)\) man-days
The two are equal: \(100n=110n-1100\), so \(10n=1100\) and \(n=110\) men