2022 AMC 8 Problem 7

Attempt Problem 7 of the 2022 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 2022 AMC 8 solutions, or check the answer key.

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

7.

When the World Wide Web first became popular in the 1990s, download speeds reached a maximum of about 5656 kilobits per second. Approximately how many minutes would the download of a 4.24.2-megabyte song have taken at that speed? (Note that there are 80008000 kilobits in a megabyte.)
0.60.6
1010
18001800
72007200
3600036000
Answer: B
Concepts:unit conversionrate
Small hint:
Convert megabytes to kilobits first
Big hint:
4.2⋅80004.2\cdot8000 kilobits divided by 5656 kilobits per second gives seconds
Solution:
The song has 4.2⋅8000=33,6004.2\cdot8000=33{,}600 kilobits. At 5656 kilobits per second, the download takes 33,60056=600 \frac{33{,}600}{56}=600 seconds, which is 1010 minutes.
Thus, the correct answer is B.
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