2015 AMC 8 Problem 17
Attempt Problem 17 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).
17.
Jeremy’s father drives him to school in rush hour traffic in minutes. One day there is no traffic, so his father can drive him miles per hour faster and gets him to school in minutes. How far in miles is it to school?
Answer: D
Small hint:
Convert minutes and minutes to hours.
Big hint:
Set the two distance expressions equal.
Video solution:
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Written solution:
Let the rush-hour speed be miles per hour. The -minute rush-hour trip takes hour, so the distance is
Without traffic, the speed is miles per hour and the trip takes minutes, or hour. The same distance is
Set the distances equal: Then so The distance is miles.
Thus, D is the correct answer.
Problem 17 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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