Problem:
The taxi fare in Gotham City is  for the first  mile and additional mileage charged at the rate  for each additional  mile. You plan to give the driver a  tip. How many miles can you ride for 

Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
Including a tip, a mile ride would cost . The remaining would take you an additional miles, so the total distance is miles.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions