1985 AMC 8 Problem 13

Below is the professionally curated solution for Problem 13 of the 1985 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1985 AMC 8 solutions, or check the answer key.

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Concepts:distance rate and time unit conversion

Difficulty rating: 820

13.

If you walk for $45$ minutes at a rate of $4$ mph and then run for $30$ minutes at a rate of $10$ mph, how many miles have you gone at the end of one hour and $15$ minutes?

$3.5$ miles

$8$ miles

$9$ miles

$25\dfrac13$ miles

$480$ miles

Solution:

Walking: $4 \times \dfrac34 = 3$ miles. Running: $10 \times \dfrac12 = 5$ miles.

The total distance is $3 + 5 = 8$ miles.

Thus, the correct answer is B .

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