Let's define the rates of production for lines A and B.
Let the production rate of line B be \( x \) light bulbs per hour. Then, since production line A produces light bulbs 1.1 times faster than line B, the production rate of line A would be \( 1.1x \) light bulbs per hour.
According to the problem, combined, both lines can produce 315 light bulbs in 1 hour, which can be expressed as:
\[ x + 1.1x = 315 \]
Combining the terms gives:
\[ 2.1x = 315 \]
To find \( x \), we solve for \( x \):
\[ x = \frac{315}{2.1} \]
Calculating \( x \):
\[ x = 150 \]
This means production line B can produce 150 light bulbs in 1 hour. Now we can find the production rate of line A:
\[ \text{Production line A} = 1.1x = 1.1 \times 150 = 165 \]
Thus, in 1 hour, production line A can produce 165 light bulbs.
Therefore, the correct answer is 165 light bulbs.
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