2009 AMC 8 Problem 6
Attempt Problem 6 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Steve’s empty swimming pool will hold gallons of water when full. It will be filled by hoses, each of which supplies gallons of water per minute. How many hours will it take to fill Steve’s pool?
Answer: A
Small hint:
First find the combined filling rate of the four hoses.
Big hint:
Convert minutes to hours after finding the total number of minutes.
Solution:
The hoses together fill the pool with gallons of water per minute.
To fill gallons, it will take the hoses minutes to fill the pool.
minutes is the same as hours.
Thus, A is the correct answer.
Problem 6 in other years
- 1985 AMC 8
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