1、work out

想出，得到(解决方法);解(谜)

Negotiators are due to meet later today to work out a compromise.

谈判人员定于今天晚些时候进行会谈，商定一个折中方案。

It took me some time to work out what was causing this.

我花了一些时间才弄清此事的起因。

计算出，解出（数学题答案）

It is proving hard to work out the value of bankrupt firms' assets.

清算破产公司的资产值其实很困难。

When asked what a ￡40.35 meal for five people would cost each diner, they were unable to work it out.

问到5个人吃一顿饭花了40.35英镑，每人要出多少钱时，他们算不出来。

(如期）发生；进展(顺利)

Things just didn't work out as planned.

事情根本没有按计划进行。

I hope it will work out well.

我希望进展顺利。

2、explanation

解释;说明

She told the court she would give a full explanation of the prosecution's decision on Monday.

她告诉法庭她会在星期一对原告方的决定作出全面解释。

There was a hint of schoolboy shyness in his explanation.

他的解释中带有一丝学生的羞涩。

理由；原因

The deputy airport manager said there was no apparent explanation for the crash.

机场副经理说那次飞机失事没有明显的原因。

Digging further into the medical literature, I found out there was a scientific explanation for all this.

进一步翻阅医学文献后我发现，这些都是有科学解释的。