Respuesta :
Answer:
The mama bear can do it in 9
seconds. The cub can do it in 18
seconds.
Step-by-step explanation:
1/x+9+1/x=1/6
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:
Given
A tourist ignores the warning signs and leaves food in his car while he goes for a hike.
A mama bear and her cub open the car door in six seconds.
Together with rate: 1/6.
Mama's rate: 1/x.
Cub's rate: 1/(x + 9).
Therefore,
[tex]\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6[/tex]
The value of time can not be negative.
Hence, 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 brainly.com/question/25159431
