Question

A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company an charges $60 a day plus $0.30 per mile to rent the same truck.Find the number of mile in a day at which the rental costs for company A and Company B are the same.

Answer 1

500 miles

Explanation:

Let

y -----> the rental cost

x ----> the number of miles in a day

we have

Company A

`y=0.20x+110` -----> equation A

Company B

`y=0.30x+60` -----> equation B

Equate equation A and equation B and solve for x

`0.20x+110=0.30x+60`

`0.30x-0.20x=110-60`

`0.10x=50`

`x=500\ miles`

For x=500 miles the rental costs for company A and Company B are the same