1986 AMC 8 Problem 1

Attempt Problem 1 of the 1986 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 1986 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

In July 1861,1861, 366366 inches of rain fell in Cherrapunji, India. What was the average rainfall in inches per hour during that month?
36631×24\dfrac{366}{31 \times 24}
366×3124\dfrac{366 \times 31}{24}
366×2431\dfrac{366 \times 24}{31}
31×24366\dfrac{31 \times 24}{366}
366×31×24366 \times 31 \times 24
Answer: A
Concepts:rateunit conversion
Small hint:
The average rate is the total rainfall divided by the total number of hours in the month
Big hint:
July has 3131 days, and each day has 2424 hours
Solution:
The average rainfall per hour equals the total rainfall divided by the total number of hours. July has 3131 days, or 31×2431 \times 24 hours, so the average is 36631×24=61124\dfrac{366}{31 \times 24} = \dfrac{61}{124} inches per hour.
Thus, the correct answer is A .
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