Answer:
The distance traveled is 8km
Step-by-step explanation:
Let's assume
distance traveled is 'd' km
Company-A:
Car Rental company A charges $29 a week
plus $13 per kilometre driven
so, we get
[tex]CA=29+13d[/tex]
Company-B:
Car Rental company B charges $85 a week
plus $6 per kilometre driven
so, we get
[tex]CB=85+6d[/tex]
now, we can set them equal and then we can solve for d
[tex]CA=CB[/tex]
[tex]29+13d=85+6d[/tex]
now, we can solve for d
Subtract both sides 29
[tex]29+13d-29=85+6d-29[/tex]
[tex]13d=56+6d[/tex]
Subtract both sides by 6d
[tex]13d-6d=56+6d-6d[/tex]
[tex]7d=56[/tex]
Divide both sides by 7
and we get
[tex]d=8[/tex]
So,
The distance traveled is 8km
