Difference between revisions of "2008 AMC 8 Problems/Problem 5"
(Created page with "==Problem 5== Barney Schwinn notices that the odometer on his bicycle reads <math>1441</math>, a palindrome, because it reads the same forward and backward. After riding <math>4<...") |
MRENTHUSIASM (talk | contribs) (Tag: Undo) |
||
| (13 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
| − | ==Problem | + | ==Problem== |
Barney Schwinn notices that the odometer on his bicycle reads <math>1441</math>, a palindrome, because it reads the same forward and backward. After riding <math>4</math> more hours that day and <math>6</math> the next, he notices that the odometer shows another palindrome, <math>1661</math>. What was his average speed in miles per hour? | Barney Schwinn notices that the odometer on his bicycle reads <math>1441</math>, a palindrome, because it reads the same forward and backward. After riding <math>4</math> more hours that day and <math>6</math> the next, he notices that the odometer shows another palindrome, <math>1661</math>. What was his average speed in miles per hour? | ||
| Line 7: | Line 7: | ||
\textbf{(D)}\ 20\qquad | \textbf{(D)}\ 20\qquad | ||
\textbf{(E)}\ 22</math> | \textbf{(E)}\ 22</math> | ||
| + | |||
| + | ==Solution== | ||
| + | Barney travels <math>1661-1441=220</math> miles in <math>4+6=10</math> hours for an average of <math>220/10=\boxed{\textbf{(E)}\ 22}</math> miles per hour. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2008|num-b=4|num-a=6}} | {{AMC8 box|year=2008|num-b=4|num-a=6}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 18:20, 8 August 2021
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?
Solution
Barney travels 
miles in 
hours for an average of 
miles per hour.
See Also
| 2008 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
