2015 AMC 8 Problem 3
Attempt Problem 3 of the 2015 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 2015 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of miles per hour. Jack walks to the pool at a constant speed of miles per hour. How many minutes before Jack does Jill arrive?
Answer: D
Small hint:
Find how many minutes each person takes to travel one mile.
Big hint:
Subtract Jill’s travel time from Jack’s travel time.
Video solution:
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Written solution:
Jack travels at a rate of miles per minutes. Therefore, it takes him minutes to get to the pool.
Jill travels at a rate of miles per minutes. Therefore it takes her minutes to get to the pool.
Therefore, the difference in their times is minutes.
Thus, the correct answer is D .
Problem 3 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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- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
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