(本小题满分8分)甲、乙两人准备整理一批新到的实验器材,若甲

(本小题满分8分)甲、乙两人准备整理一批新到的实验器材,若甲单独整理需
要40分钟完工,若甲、乙共同整理20分钟后,乙需再单独整理20分钟才能完工.
⑴问乙单独整理多少分钟完工?
⑵若乙因式作需要,他的整理时间不超过30分钟,则甲至少整理多少分钟才能完工?

答案

解:⑴设乙单独整理分钟完工,根据题意得:

解得:.经检验是原方程的解.
答:乙单独整理80分钟完工.
⑵设甲整理分钟完工,根据题意得:
1,
解得: 25
答:甲至少整理25分钟完工.
(注:以下解答也给分.设甲、乙分别整理分钟,得.∴
,∴,∴25.)解析:

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