2013 AMC 10B Problem 8

Attempt Problem 8 of the 2013 AMC 10B 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 2013 AMC 10B solutions, or check the answer key.

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

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?

$10$

$16$

$25$

$30$

$40$

Answer: B

Concepts:rate ratio and proportion

Difficulty rating: 960

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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