Difference between revisions of "2022 AMC 8 Problems/Problem 7"
MRENTHUSIASM (talk | contribs) m (→Solution 1) |
MRENTHUSIASM (talk | contribs) m (→Solution 2 (Dimensional Analysis): Removed title for consistency purposes. Good sol!) |
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~wamofan | ~wamofan | ||
− | ==Solution 2 | + | ==Solution 2== |
− | We seek a value of <math>x</math> that makes the following equation true, since | + | We seek a value of <math>x</math> that makes the following equation true, since every other quantity equals <math>1</math>. |
− | <cmath>\frac{x\ \text{min}}{4.2\ \text{mb}} \cdot \frac{56\ \text{kb}}{1\ \text{sec}} \cdot \frac{1\ \text{mb}}{8000\ \text{kb}} \cdot \frac{60\ \text{sec}}{1\ \text{min}} = 1</cmath> | + | <cmath>\frac{x\ \text{min}}{4.2\ \text{mb}} \cdot \frac{56\ \text{kb}}{1\ \text{sec}} \cdot \frac{1\ \text{mb}}{8000\ \text{kb}} \cdot \frac{60\ \text{sec}}{1\ \text{min}} = 1.</cmath> |
− | + | Solving yields <math>x=\boxed{\textbf{(B) } 10}</math>. | |
− | Solving yields <math>x=\boxed{\textbf{(B) } 10}</math> | ||
-Benedict T (countmath1) | -Benedict T (countmath1) |
Revision as of 09:07, 9 December 2022
Problem
When the World Wide Web first became popular in the s, download speeds reached a maximum of about kilobits per second. Approximately how many minutes would the download of a -megabyte song have taken at that speed? (Note that there are kilobits in a megabyte.)
Solution 1
Notice that the number of kilobits in this song is
We must divide this by in order to find out how many seconds this song would take to download:
Finally, we divide this number by because this is the number of seconds to get the answer
~wamofan
Solution 2
We seek a value of that makes the following equation true, since every other quantity equals .
Solving yields .
-Benedict T (countmath1)
Video Solution
https://www.youtube.com/watch?v=Ij9pAy6tQSg&t=475
~Interstigation
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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.