SAT Math Multiple Choice Question 383: Answer and Explanation

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Test Information

Question: 383

8.

Arianna and her brother Liam both walk home from school each day, but they go to different schools. The figure shows their trip home on Monday. Based on the graph, which of the following statements is true?

  • A. It took Liam longer to walk home because his school is farther away.
  • B. It took Arianna longer to walk home because her school is farther away.
  • C. Arianna and Liam walked home at the same rate.
  • D. Arianna walked home at a faster rate than Liam.

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Try adding numbers to the graph.

Getting to the Answer: Add reasonable numbers to the graph to help you answer the question. An example follows:

Use the numbers to help you evaluate each statement. It took Liam and Arianna each 30 minutes to walk home, so A and B are incorrect. Arianna walked 3 miles in 30 minutes, while Liam only walked 2 miles in 30 minutes; their rates are not the same, so C is also incorrect. This means (D) must be true. Arianna started out farther away than Liam, so she must have walked at a faster rate to arrive at home in the same amount of time.

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