be at cross-purposes 产生误解
work at cross-purposes 目标不一致
run at cross-purposes 产生冲突
A: Why didn't you finish the report on time?
A：为什么你没有按时完成报告。
B: I'm sorry, we were at cross-purposes about the deadline.
B：很抱歉，我们对截止日期存在误解。
1) 产生误解
2) 目标不一致
3) 发生冲突
1. 误解；目标不一致
idiom
1. to be in disagreement because of a misunderstanding or having different aims
Synonym: misunderstanding, disagreement