Respuesta :
Answer:
0 sec. I help him get the tourist too :)
Step-by-step explanation:
jk, but her cub takes 13 and the mama 4
Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.
What is the together rate?
The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
- Together rate: 1/6.
- Mama's rate: 1/x.
- Cub's rate: 1/(x + 9).
Hence:
[tex]\frac{1}{x} + \frac{1}{x + 9} = \frac{1}{6}[/tex]
[tex]\frac{x + 9 + x}{x(x + 9)} = \frac{1}{6}[/tex]
[tex]x^2 + 9x - 12x - 54 = 0[/tex]
[tex]x^2 - 3x - 54 = 0[/tex]
Quadratic equation with coefficients [tex]a = 1, b = -3, c = -54[/tex], hence:
[tex]\Delta = b^2 - 4ac = (-3)^2 - 4(1)(-54) = 225[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{3 + \sqrt{225}}{2} = 9[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{3 - \sqrt{225}}{2} = -6[/tex]
It would take each bear 9 hours to open the car door alone.
To learn more about the together rate, you can take a look at https://brainly.com/question/25159431