Multiple choice

Carlos and Maria rode for two parts of the trip, and the total distance they rode was less than 150 miles. Carlos rode at an average speed of 20 mph for the first part of the trip, and Maria rode at an average speed of 25 mph for the second part. Which inequality represents this situation, where c is the number of hours Carlos rode and m is the number of hours Maria rode?

  1. 20c + 25m < 150

  2. 25c + 20m < 150

  3. 20c + 25m ≤ 150

  4. 25c + 20m ≤ 150
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A Correct answer
Explanation

Distance is speed multiplied by time. Carlos's distance is 20c and Maria's distance is 25m. The total distance 20c + 25m is stated to be less than 150 miles, which is represented by the inequality 20c + 25m < 150.

AI explanation

Using the formula distance equals speed multiplied by time, the distance Carlos rode is 20 multiplied by c. The distance Maria rode is 25 multiplied by m. Since their total distance is strictly less than 150 miles, the correct inequality is 20c + 25m < 150.

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