Let the rate of production for line B be \( x \) light bulbs per hour. Therefore, the rate of production for line A, which is 1.1 times faster, would be \( 1.1x \) light bulbs per hour.
According to the problem, combined production from both lines results in a total of 315 light bulbs in 1 hour:
\[ x + 1.1x = 315 \]
This can be simplified to:
\[ 2.1x = 315 \]
To find \( x \), divide both sides by 2.1:
\[ x = \frac{315}{2.1} = 150 \]
Now that we have determined that production line B produces 150 light bulbs per hour, we can find the production for line A:
\[ 1.1x = 1.1 \cdot 150 = 165 \]
Therefore, production line A can produce 165 light bulbs in 1 hour.
The correct answer is:
165 light bulbs