2013 AMC 10B Problem 8

Below is the professionally curated solution for Problem 8 of the 2013 AMC 10B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 10B solutions, or check the answer key.

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Concepts:rate ratio and proportion

Difficulty rating: 960

Ray's car averages $40$ miles per gallon of gasoline, and Tom's car averages $10$ miles per gallon of gasoline. Ray and Tom each drive the same number of miles. What is the cars' combined rate of miles per gallon of gasoline?

$10$

$16$

$25$

$30$

$40$

Solution:

Let each car drive $40$ miles. Together they drive $80$ miles.

Ray uses $1$ gallon, while Tom uses $4$ gallons, so together they use $5$ gallons.

The combined rate is $80\div5=16$ miles per gallon.

Thus, the correct answer is B .

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