She quickly cooked the supper,and cleaned the house.

放在前后都可以。正常的话,方式或程度状语应该放在宾语的后面,如：like English very much,observe the experiment carefully。有时为了强调或结构匀称,也可调整到动词前。就此处而言,quickly放在前面,也可以理解成修饰cooked和cleaned两个词。