参考答案

正确答案：B
解析：[听力原文]
M: Do you think you could possibly work late this evening? I'm afraid there's some work we really have to finish this evening.
W: Work late? I suppose so, if you really think it's necessary.
Q: What is the woman probably going to do?
根据选项词汇would可知对话是关于这位女士将要做某事。男士问女士今晚能否加班，女士说可以，如果男士真的认为必要的话。故选项B)正确。