Difference between revisions of "2008 AMC 8 Problems/Problem 5"

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==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>2</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?
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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?
  
 
<math>\textbf{(A)}\ 15\qquad
 
<math>\textbf{(A)}\ 15\qquad

Revision as of 20:18, 1 April 2021

Problem

Barney Schwinn notices that the odometer on his bicycle reads $1441$, a palindrome, because it reads the same forward and backward. After riding $4$ more hours that day and $6$ the next, he notices that the odometer shows another palindrome, $1661$. What was his average speed in miles per hour?

$\textbf{(A)}\ 15\qquad \textbf{(B)}\ 16\qquad \textbf{(C)}\ 18\qquad \textbf{(D)}\ 20\qquad \textbf{(E)}\ 22$

Solution

Barney travels $1661-1441=220$ miles in $2+6=8$ hours for an average of $220/10=\boxed{\textbf{(E)}\ 22}$ miles per hour.

See Also

2008 AMC 8 (ProblemsAnswer KeyResources)
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

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