I think the most important thing is not just reading fast, bnt getting meaningful information out of bunch of sentences.
When I was a graduate student at the States, my slow reading に苦悩しました。
I finally realized that what really counts is not just how fast you read, but how clear you understand the essence of the subject. Hope good luck in your TOEIC challenge!
Thank you for your comment.
I guess there is no shortcut to improve English, but you gave me some hint about reading.