2023 AMC 8 Problem 11

Below is the video solution and professionally curated solution for Problem 11 of the 2023 AMC 8, 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.

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Concepts:distance rate and timeestimationunit conversion

Difficulty rating: 1100

11.

NASA's Perseverance Rover was launched on July 30,2020.30, 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

Video solution:
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Written solution:

We can round the distance up to 300,000,000300,000,000 miles. We can also approximate 6.56.5 months as 30×6.5=195200 30 \times 6.5 = 195 \approx 200 days. This means that the Rover traveled 300,000,000÷200=1,500,000 300,000,000 \div 200 = 1,500,000 miles per day. Dividing this by 2424 to get the speed in miles per hour yields 62,500,62,500, which is close to 60,000.60,000.

Thus, C is the correct answer.

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