2020 AMC 8 Problem 11

Attempt Problem 11 of the 2020 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 2020 AMC 8 solutions, or check the answer key.

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

11.

After school, Maya and Naomi headed to the beach, 66 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi’s and Maya’s average speeds?
66
1212
1818
2020
2424
Answer: E
Concepts:distance rate and timedata and graph interpretation
Small hint:
Read each person’s time to travel 66 miles
Big hint:
Convert 1010 minutes and 3030 minutes to hours
Video solution:
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Written solution:
Naomi traveled 66 miles in 1010 minutes, so her average speed was 61060=36\dfrac{6}{\frac{10}{60}}=36 miles per hour.
Maya traveled 66 miles in 3030 minutes, so her average speed was 63060=12\dfrac{6}{\frac{30}{60}}=12 miles per hour.
This difference is 36−12=24.36-12=24.
Thus, the correct answer is E.
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