Difference between revisions of "2001 AMC 8 Problems/Problem 5"
(→Solution 2) |
(→Solution 2) |
||
| (3 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
==Problem== | ==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 | + | 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. |
| − | 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> | ||
| Line 8: | Line 7: | ||
==Solution== | ==Solution== | ||
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>. | 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>. | ||
| − | |||
| − | |||
| − | |||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2001|num-b=4|num-a=6}} | {{AMC8 box|year=2001|num-b=4|num-a=6}} | ||
{{MAA Notice}} | {{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.
Solution
During the 
seconds, the sound traveled 
feet from the lightning to Snoopy. This is equivalent to 
miles, 
.
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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
