Try timing yourself to see how long it takes you to just read the passage. I did this, and was surprised to find that what felt slow was actually not that slow at all. If you really take the time to absorb the passage and really understand it, then you'll probably spend less time on the questions and it'll all even out at the end of the section. For me, reading the passage quickly then going to the questions was a detriment to my timing and my confidence because I had to keep returning to the passage over and over. This is something that I feel holds true for the LR section as well.

Something else you might try is to really focus on the structure of the passage. Take a few seconds before attacking the questions to make a quick note about what went on in each paragraph, which will help you get the big picture of the passage.

Good luck and remember to stay confident!