go on working：继续做手中的活
go on to work：停下手中的活,接着做另外一件活
Mr.White was going on working throughout the night.瓦特先生工作一夜未停.
After a short rest,the two boys went on to work on another problem.两个男孩休息了一会儿,接着解决另外一个问题.