Question

Car Rental company A charges $29 a week, plus $13 per kilometre driven. Car Rental company B charges $85 a week, plus $6 per kilometre driven. Determine the distance you must d

Answer 1

The distance traveled is 8km

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

`CA=29+13d`

Company-B:

Car Rental company B charges $85 a week

plus $6 per kilometre driven

so, we get

`CB=85+6d`

now, we can set them equal and then we can solve for d

`CA=CB`

`29+13d=85+6d`

now, we can solve for d

Subtract both sides 29

`29+13d-29=85+6d-29`

`13d=56+6d`

Subtract both sides by 6d

`13d-6d=56+6d-6d`

`7d=56`

Divide both sides by 7

and we get

`d=8`

So,

The distance traveled is 8km