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?
Correct answer: A. 3 +5 w r = 14
- A. 3 +5 w r = 14
- B. 1/3w+ 1/5r =14
- C. 1/3w=1/5r=112
- D. 3w + 5r = 112
Explanation
Choice A is correct. Since Jay walks at a speed of 3 miles per hour for w hours,Jay walks a total of 3w miles. Since Jay runs at a speed of 5 miles per hour for hours, Jay runs a total of 5r miles. Therefore, the total number of miles Jay runs travels can be represented by 3w +5r. Since the combined total number of milesis 14, the equation 3w +5r =14 represents this situation.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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