1994 AMC 8 Problem 17
Attempt Problem 17 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
Pauline Bunyan can shovel snow at the rate of cubic yards for the first hour, cubic yards for the second, for the third, etc., always shoveling one cubic yard less per hour than the previous hour. If her driveway is yards wide, yards long, and covered with snow yards deep, then the number of hours it will take her to shovel it clean is closest to
Answer: D
Small hint:
First find the total volume of snow:
Big hint:
Add hour by hour until the running total reaches the volume
Solution:
The volume of snow is cubic yards.
The amounts shoveled add up to after hours. In the eighth hour her rate is cubic yards per hour, so the last cubic yard takes hour. The exact time is therefore hours, which is closest to .
Thus, the correct answer is D .
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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