Let's denote the number of pages Taylor read as \( T \).
According to the problem, Arlene read 30 pages, which is 10 pages more than half of what Taylor read. We can set up the equation as follows:
\[ 30 = \frac{1}{2}T + 10 \]
Now, we can solve for \( T \):
- Subtract 10 from both sides:
\[ 30 - 10 = \frac{1}{2}T \]
\[ 20 = \frac{1}{2}T \]
- Multiply both sides by 2 to eliminate the fraction:
\[ 40 = T \]
So, Taylor read \( \boxed{40} \) pages.