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

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==Problem==
 
==Problem==
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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>5</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
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==Solution==
 
==Solution==
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Barney travels <math>1661-1441=220</math> miles in <math>6=10</math> hours for an average of <math>220/10=\boxed{\textbf{(E)}\ 22}</math> miles per hour.
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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}}
 
{{MAA Notice}}

Latest revision as of 18:20, 8 August 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 $4+6=10$ hours for an average of $220/10=\boxed{\textbf{(E)}\ 22}$ 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

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