2001 AMC 8 Problem 5

Below is the professionally curated solution for Problem 5 of the 2001 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.

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Concepts:distance rate and time estimation unit conversion

Difficulty rating: 730

On a dark and stormy night Snoopy suddenly saw a flash of lightning. Ten seconds later he heard the sound of thunder. The speed of sound is $1088$ feet per second and one mile is $5280$ feet. Estimate, to the nearest half-mile, how far Snoopy was from the flash of lightning.

$1$

$1\frac{1}{2}$

$2$

$2\frac{1}{2}$

$3$

Solution:

In $10$ seconds, the thunder was able to travel $10 \cdot 1088 = 10880$ feet.

Note that $2$ miles is about $2 \cdot 5280 = 10560$ feet, which is close to what we found above.

Thus, C is the correct answer.

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