Negotiate!
Be aware that when you take on extra work, if it means that
My work is so open-ended that most of it never really gets "done". I work on what I can and the rest of it waits for another day.
it could mean that you are not performing to the best of your ability in any area.
There is a danger here that the engineer who sits and reads his paper can show that what he does do, gets done. You are only able to show lots of incomplete work despite working all the time.
There are only so many hours in the day. You may need to negotiate what work is to be done.
When given a new task, get it clearly defined and ask for your work to be prioritised and make good estimates of time involved.
Also, don't consider it "extra work" but new work.
There is a difference. If you are given new work with other work still in progress, you need to make it clear that you can only do so much and cannot complete other tasks.
Ask your boss what his priorities are and what work you should drop. You need him to be aware of the impact of adding new work to your workload.
You need to make your time management problems your boss's so that he fully understands what happens and why.
The alternative is that without understanding why you don't finish anything, they will think you are a poor worker, not a good one.
Don' try to do too much and don't let anyone try to make you do too much. Don't be obstructive, just share the problem of time management with your boss. After all, he has to be responsible for timely completion of tasks. He may not recognise this as a resource problem and he may end up thinking you are the one who is not capable of doing the work.
You know, there is a message here, and you have outlined it clearly, the guy who reads a paper is less stressed, completes his work and gets paid more and is more senior. YOU may be the one who is subsidising his life style! and taking the risks.
JMW