2011 AMC 8 Problem 9

Attempt Problem 9 of the 2011 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 2011 AMC 8 solutions, or check the answer key.

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

9.

Carmen takes a long bike ride on a hilly highway. The graph indicates the miles traveled during the time of her ride. What is Carmen’s average speed for her entire ride in miles per hour?
22
2.52.5
44
4.54.5
55
Answer: E
Concepts:distance rate and timedata and graph interpretation
Small hint:
Read the final distance and total hours from the graph.
Big hint:
Average speed is total distance divided by total time.
Solution:
Carmen travels 3535 miles in 77 hours, so her average speed is 357=5\frac{35}{7} = 5 miles per hour.
Thus, E is the correct answer.
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