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Algebra / Linear equations in two variables Difficulty: Easy

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?

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Explanation

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 3w+5r. Since the combined total number of miles is 14 , the equation 3w+5r=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.