Multiple choice

Lovish 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 trial 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 Lovish sends driving d, and the number of hours he spends hiking, h while he is at the park?

  1. $1.5h+20d> 60, h+d\leq 6$
  2. $1.5h+20d > 60, h+d\geq 6$
  3. $1.5h+20d < 0, h+d\geq 360$
  4. $20h+1.5d > 6, h+d\leq 60$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total distance is 20d + 1.5h, and it must be more than 60 miles. The total time spent driving and hiking cannot exceed 6 hours, so h + d <= 6.

AI explanation

The total time spent in the park is the sum of driving hours and hiking hours, giving the inequality h plus d is less than or equal to 6. Because Lovish wants to travel more than 60 miles in total, the distance inequality is 20 multiplied by d plus 1.5 multiplied by h is greater than 60.

Keep practicing — related questions