Arlean read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?

Let x be the number of pages Taylor read.

Half of the pages Taylor read is x/2.
Arlean read 10 more pages than that, so Arlean read x/2 + 10.
Arlean read 30 pages, so x/2 + 10 = 30.
Subtracting 10 from both sides, we get x/2 = 30 - 10 = <<30-10=20>>20.
Multiplying both sides by 2, we get x = 2 * 20 = <<2*20=40>>40 pages. Answer: \boxed{40}.