SAT Math Multiple Choice Question 93: Answer and Explanation

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Question: 93

3. Lennon has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of 1.5 miles per hour, which of the following systems of inequalities can be solved for the number of hours Lennon spends driving, d, and the number of hours he spends hiking, h, while he is at the park?

  • A. 1.5h + 20d > 60
    h + d ≤ 6
  • B. 1.5h + 20d > 60
    h + d ≥ 6
  • C. 1.5h + 20d < 60
    h + d ≥ 360
  • D. 20h + 1.5d > 6
    h + d ≤ 60

Correct Answer: A

Explanation:

A Start with the easiest piece of information first, and use Process of Elimination. Given that h is the number of hours spent hiking and d is the number of hours driving, the total number of hours Lennon spends in the park can be calculated as h + d. The question states that Lennon has up to 6 hours to spend in the park-"up to" means ≤. So, h + d ≤ 6. Eliminate (B), (C), and (D). The correct answer is (A).

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