2005 AMC 8 Problem 10
Attempt Problem 10 of the 2005 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 2005 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran times as fast as he walked. Joe took minutes to walk half way to school. How many minutes did it take Joe to get from home to school?
Answer: D
Small hint:
Joe runs the same half-distance he previously walked.
Big hint:
Running three times as fast takes one third as much time.
Solution:
Joe took minutes to walk the first half of the distance.
He ran the second half, the same distance, at times his walking speed, so that half took minutes.
His total time was minutes.
Thus, D is the correct answer.
Problem 10 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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- 2004 AMC 8
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