Art of Problem Solving
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2006 AMC 8 Problems/Problem 3: Difference between revisions

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Created page with "== Problem == Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps in 24 minutes. By how many minutes has she i..."
 
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== Solution ==
== Solution ==
When Elisa started, she finished a lap in <math> \frac{25}{10}=2.5 </math> minutes. Now, she finishes a lap is <math> \frac{24}{12}= 2 </math> minutes. The difference is <math> 2.5-2=\boxed{\textbf{(A)}\ \frac{1}{2}} </math>.
When Elisa started, she finished a lap in <math> \frac{25}{10}=2.5 </math> minutes. Now, she finishes a lap is <math> \frac{24}{12}= 2 </math> minutes. The difference is <math> 2.5-2=\boxed{\textbf{(A)}\ \frac{1}{2}} </math>.
{{AMC8 box|year=2006|num-b=2|num-a=4}}

Revision as of 15:00, 21 November 2011

Problem

Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?

$\textbf{(A)}\ \frac{1}{2}\qquad\textbf{(B)}\ \frac{3}{4}\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ 3$

Solution

When Elisa started, she finished a lap in $\frac{25}{10}=2.5$ minutes. Now, she finishes a lap is $\frac{24}{12}= 2$ minutes. The difference is $2.5-2=\boxed{\textbf{(A)}\ \frac{1}{2}}$.

2006 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AJHSME/AMC 8 Problems and Solutions