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?



选项

A.

10

B.

20

C.

30

D.

40

E.

50

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。
在线客服
官方微信
公众号