If you say you arrived at work, then "work" is being used to describe where you arrived. This would be like saying "I am at the place I work" If you say you arrive for work, then "work" is being used to describe what you will be doing. This would be like saying "I am here to perform work" Hope this helps.

Here is an example: Tony was out partying the entire night, into the early morning. A few hours later, he arrived at work at the usual time. Before too long, he was dozing at his desk. Apparently, he had not arrived for work.

Arrive at work which means.........reach work.

Arriving AT the working place and arriving FOR the sake of performing one's work or job.

一，你的头像变啦！！