Question

A-1 Taxi charges $12.00 for pick up and an additional $0.15 for each mile traveled. Z-6 Taxi charges $10.00 for pick up and an additional $0.25 for each mile traveled. At what mileage is the cost for both taxi services the same?

Answer 1

20 miles.

Explanation:

Let m be the miles traveled by the both Taxi.

Pick up charge of A-1 taxi = $12

Cost of travelling 1 mile = $0.15

Cost of travelling x mile = $0.15x

So, total cost of A-1 taxi =
`12+0.15x` --A

Pick up charge of Z-6 taxi = $10

Cost of travelling 1 mile = $0.25

Cost of travelling x mile = $0.25x

So, total cost of Z-6 taxi =
`10+0.25x` --B

Now we are supposed to find At what mileage is the cost for both taxi services the same.

So, equate 1 and 2

`12+0.15x=10+0.25x`

`12-10=0.25x-0.15x`

`2=0.10x`

`(2)/(0.10)=x`

`20=x`

So, the cost for both taxi services will be same at 20 miles.

Answer 2

12 + 0.15m = 10 + 0.25m
0.15m - 0.25m = 10 - 12
- 0.10m = -2
m = -2/-0.10
m = 20

At 20 miles, the cost of the two taxi services will be the same.