Jane was writing a letter and ____ at Pat was watching TV .答

meanwhile 表示并列连接,通常含有递进的意思,等于中文的“与此同时“
while 表示转折,有对比的含义,等于中文的“却“
举个例子就明白了.
he is a good husband,meanwhile he is also a good father
他是一个好丈夫,同时也是一个好父亲
he is a good husband while not a good father
他是一个好丈夫,却不是一个好父亲.吉姆在写信与此同时帕特在看电视 表并列关系 所以答案是meanwhile