Sounds like you need to make an appointment with the eye doctor and get some glasses. Eye strain will make your eyes tired, burn, dry. And because you're working harder to do something, you will get fatigued faster.
When you feel you eyes are burning it means they are symptomatic of eyestrain, irritants or perhaps conjunctivitis. It happens when you are reading book or watching the screen for too long, perhaps accompanied by headaches. As a matter of fact, being overtired can cause burning eyes as well.
I suggest you take breaks when reading book, and do some massage to you eyes to relax them. You can also use some eye drops. If you have myopia, you'd better wear glasses when you are reading.