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.

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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

Difficulty rating: 660

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\dfrac{366}{31 \times 24} inches per hour.

Thus, the correct answer is A .

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