SOLUTION: 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 mile

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 mile      Log On


   

Question 1161957: 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?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the equilibrium mileage.



Solve for


John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Informally, if a formal algebraic solution is not required....

The difference in the pickup charge is two dollars; the difference in the per-mile charge is ten cents.

It takes 20 times 10 cents to make 2 dollars, so the number of miles for which the costs for both taxi services are the same is 20.