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Difference between revisions of "2001 AMC 8 Problems/Problem 5"

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==Problem==
 
==Problem==
  
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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
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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.
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and one mile is 5280 feet. Estimate, to the nearest half-mile, how far Snoopy was from the flash of lightning.
 
  
 
<math>\text{(A)}\ 1 \qquad \text{(B)}\ 1\frac{1}{2} \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 2\frac{1}{2} \qquad \text{(E)}\ 3</math>
 
<math>\text{(A)}\ 1 \qquad \text{(B)}\ 1\frac{1}{2} \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 2\frac{1}{2} \qquad \text{(E)}\ 3</math>
  
 
==Solution==
 
==Solution==
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During those <math> 10 </math> seconds, the sound traveled <math> 1088\times10=10880 </math> feet from the lightning to Snoopy. This is equivalent to <math> \frac{10880}{5280}\approx2 </math> miles, <math> \boxed{\text{C}} </math>.
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During the <math> 10 </math> seconds, the sound traveled <math> 1088\times10=10880 </math> feet from the lightning to Snoopy. This is equivalent to <math> \frac{10880}{5280}\approx2 </math> miles, <math> \boxed{\text{C}} </math>.
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==See Also==
 
==See Also==
 
{{AMC8 box|year=2001|num-b=4|num-a=6}}
 
{{AMC8 box|year=2001|num-b=4|num-a=6}}
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{{MAA Notice}}

Latest revision as of 17:03, 19 December 2023

Problem

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.

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

Solution

During the $10$ seconds, the sound traveled $1088\times10=10880$ feet from the lightning to Snoopy. This is equivalent to $\frac{10880}{5280}\approx2$ miles, $\boxed{\text{C}}$.

See Also

2001 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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