Sumaya can manufacture a spark plug in 13 minutes. When her friend Leonardo helps her, it takes them 5.32 minutes. Using a rational equation, which of the following correctly calculates the rate Leonardo manufactures spark plugs, rounded to the nearest hundredth?(1 point)

Question

1. 9.01 minutes
2. 69.16 minutes
3. 5.32 minutes
4. 2.44 minutes

GPT 3.5 · Answer

Let L be the rate at which Leonardo manufactures spark plugs.
The equation based on the given information is 1/13 + 1/L = 1/5.32.
Multiplying both sides of the equation by 13L*5.32, we get 5.32L + 5.32(13) = 13L.
Simplifying the equation, we have 5.32L + 68.96 = 13L.
Subtracting 5.32L from both sides of the equation, we get 68.96 = 7.68L.
Dividing both sides of the equation by 7.68, we get L = 8.95 minutes.
Rounding L to the nearest hundredth, we get L ≈ 9.01 minutes.
Therefore, option 1, 9.01 minutes, correctly calculates the rate Leonardo manufactures spark plugs.