Combined, two production lines can make 315 light bulbs in 1 hour. Production line A produces light bulbs 1.1 times faster than Production line B. Using a rational equation, which of the following correctly calculates how many light bulbs can be produced in 1 hours using only production line A?

Answer 1

Let's say the number of light bulbs produced by production line B in 1 hour is x.
Then the number of light bulbs produced by production line A in 1 hour is 1.1x (as it is 1.1 times faster than line B).

The combined production of both lines is given as 315 light bulbs in 1 hour.
So, we can write the equation as: x + 1.1x = 315.

Combining like terms, we get: 2.1x = 315.

Dividing both sides of the equation by 2.1, we get: x = 315 / 2.1.

Simplifying, we find that x = 150.

Therefore, production line B can produce 150 light bulbs in 1 hour.

Since production line A produces light bulbs 1.1 times faster than line B, it can produce 1.1 * 150 = 165 light bulbs in 1 hour.

Therefore, the correct equation would be x + (1.1x) = 315, which can be simplified as 2.1x = 315.