Let the rate at which Leonardo manufactures spark plugs be represented by x.
Sumaya's rate is 1/13 (since she can manufacture 1 spark plug in 13 minutes), and Leonardo's rate is 1/x.
When they work together, their rates add up to 1/5.32 (since they can manufacture 1 spark plug in 5.32 minutes).
So the equation is 1/13 + 1/x = 1/5.32.
To solve for x, we need to find a common denominator:
(1/13)x + 1 = (1/5.32)x
Now, multiply every term by 13*5.32 to eliminate denominators:
5.32x + 13 = 13*5.32
5.32x = 13*5.32 - 13
5.32x = 69.16 - 13
5.32x = 56.16
Now, divide both sides by 5.32 to isolate x:
x = 56.16 / 5.32
x ≈ 10.56
Rounded to the nearest hundredth, Leonardo's rate is approximately 10.56 minutes.
Therefore, the correct answer is 10.56 minutes.
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)
Responses
69.16 minutes
69.16 minutes
5.32 minutes
5.32 minutes
2.44 minutes
2.44 minutes
9.01 minutes
1 answer