Problem:
Barney Schwinn notices that the odometer on his bicycle reads , a palindrome, because it reads the same forward and backward. After riding  more hours that day and  the next, he notices that the odometer shows another palindrome, . What was his average speed in miles per hour?

Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
Barney rides miles in hours, so his average speed is miles per hour.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions