1986 AMC 8 Problem 1

Below is the professionally curated solution for Problem 1 of the 1986 AMC 8, 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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Concepts:rate unit conversion

Difficulty rating: 660

In July $1861,$ $366$ inches of rain fell in Cherrapunji, India. What was the average rainfall in inches per hour during that month?

$\dfrac{366}{31 \times 24}$

$\dfrac{366 \times 31}{24}$

$\dfrac{366 \times 24}{31}$

$\dfrac{31 \times 24}{366}$

$366 \times 31 \times 24$

Solution:

The average rainfall per hour equals the total rainfall divided by the total number of hours. July has $31$ days, or $31 \times 24$ hours, so the average is $\dfrac{366}{31 \times 24}$ inches per hour.

Thus, the correct answer is A .

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