Question #174885f8 - SAT Suite Question Bank

ID: 174885f8

Modded SAT Question Bank by Abdullah Mallik

Jay walks at a speed of $3$ miles per hour and runs at a speed of $5$ miles per hour. He walks for $w$ hours and runs for $r$ hours for a combined total of $14$ miles. Which equation represents this situation?

$3 w + 5 r = 14$
$\frac{1}{3} w + \frac{1}{5} r = 14$
$\frac{1}{3} w + \frac{1}{5} r = 112$
$3 w + 5 r = 112$

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Correct Answer: A

Rationale

Choice A is correct. Since Jay walks at a speed of $3$ miles per hour for $w$ hours, Jay walks a total of $3 w$ miles. Since Jay runs at a speed of $5$ miles per hour for $r$ hours, Jay runs a total of $5 r$ miles. Therefore, the total number of miles Jay travels can be represented by $3 w plus 5 r$ . Since the combined total number of miles is $14$ , the equation $3 w + 5 r = 14$ represents this situation.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

Question Difficulty: Easy