2014 AMC 8 Problem 17
Attempt Problem 17 of the 2014 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 2014 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
George walks mile to school. He leaves home at the same time each day, walks at a steady speed of miles per hour, and arrives just as school begins.
Today he was distracted by the pleasant weather and walked the first mile at a speed of only miles per hour. At how many miles per hour must George run the last mile in order to arrive just as school begins today?
Answer: B
Small hint:
Find the usual time for one mile at mph.
Big hint:
Subtract the time already spent walking the first half mile.
Solution:
If George normally walks mile at miles per hour, it takes him hour, or minutes, to get to school.
Today he walked the first mile at miles per hour, taking hour, or minutes. He has minutes, which is hour, left to cover mile.
His required speed is miles per hour.
Thus, B is the correct answer.
Problem 17 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
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- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
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