首先improve是动词,后面肯定不能是动词,其次study虽然可以作名词,但一般是有特殊使用时才可以,比如说study room书房.
单独出现study一般都是做动词使用,所以在improve后面要用动名词（+ing）表示学习这个动作.
从后面的efficiency（效率）一词也可以判断必须用动名词,如果是动词work的话,后面就必须用副词efficiently修饰动词.
不知道我表达清楚没有?
improve our studying and working 为什么用ing
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