2023 AMC 8 Problem 11

Attempt Problem 11 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.

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

11.

NASA’s Perseverance Rover was launched on July 30,30, 2020.2020. After traveling 292,526,838292{,}526{,}838 miles, it landed on Mars in Jezero Crater about 6.56.5 months later. Which of the following is closest to the Rover’s average interplanetary speed in miles per hour?
6,0006{,}000
12,00012{,}000
60,00060{,}000
120,000120{,}000
600,000600{,}000
Answer: C
Concepts:distance rate and timeestimationunit conversion
Small hint:
Approximate 6.56.5 months as about 200200 days
Big hint:
Convert miles per day to miles per hour by dividing by 2424
Video solution:
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Written solution:
We can round the distance to 300,000,000300{,}000{,}000 miles and approximate 6.56.5 months as 30×6.5=195≈200 30 \times 6.5 = 195 \approx 200 days.
This gives 300,000,000÷200=1,500,000 300{,}000{,}000 \div 200 = 1{,}500{,}000 miles per day.
Dividing by 2424 gives about 62,50062{,}500 miles per hour, which is closest to 60,000.60{,}000.
Thus, C is the correct answer.
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