题目
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?
解析
假设总人数为\( x \)。
\( x \)名工人可以在60天内完成一项工作,
因此\( x \)名工人1天能完成\( \frac{1}{60} \)的工作量,
那么1名工人1天能完成\( \frac{1}{60x} \)的工作量……①
\( x+8 \)名工人可以在50天内完成同一项工作,
同理,1名工人1天能完成\( \frac{1}{50(x+8)} \)的工作量……②
由①和②可得:
\[ \frac{1}{60x} = \frac{1}{50(x+8)} \]
解方程得:\( x = 40 \)名工人。