2009 AMC 8 Problem 14
Attempt Problem 14 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
Austin and Temple are miles apart along Interstate Bonnie drove from Austin to her daughter’s house in Temple, averaging miles per hour. Leaving the car with her daughter, Bonnie rode a bus back to Austin along the same route and averaged miles per hour on the return trip. What was the average speed for the round trip, in miles per hour?
Answer: B
Small hint:
Average speed is total distance divided by total time.
Big hint:
The two -mile trips take different amounts of time.
Solution:
The trip from Austin to Temple took hours. The trip from Temple to Austin took hours. This means that the total time for the round trip was hours.
The total distance of the round trip was miles. Therefore, the average speed for the round trip was miles per hour.
Thus, B is the correct answer.
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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- 1991 AMC 8
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