2006 AMC 8 Problem 3

Attempt Problem 3 of the 2006 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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?

$\dfrac{1}{2}$

$\dfrac{3}{4}$

$1$

$2$

$3$

Answer: A

Concepts:rate

Difficulty rating: 560

Solution:

Initially, Elisa swam one lap in $25/10=2.5$ minutes. Now she swims one lap in $24/12=2$ minutes.

Therefore, she improved her lap time by $2.5-2=0.5=\dfrac{1}{2}$ minute.

Thus, A is the correct answer.

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