Let the rate of production of line B be \( r \) bulbs per hour. Since production line A produces light bulbs 1.1 times faster than line B, the rate of production for line A would be \( 1.1r \) bulbs per hour.
Combined, the two production lines can produce a total of 315 light bulbs in 1 hour:
\[ r + 1.1r = 315 \]
This can be simplified as follows:
\[ 2.1r = 315 \]
Now, we can solve for \( r \):
\[ r = \frac{315}{2.1} = 150 \]
Now that we have the rate for production line B (\( r = 150 \)), we can find the rate for production line A:
\[ 1.1r = 1.1 \times 150 = 165 \]
Thus, production line A can produce 165 light bulbs in 1 hour.
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