Question

Sarah runs on a treadmill for an hour and a half. At the end of her workout, it

says she ran for a total of 12 miles. If she always runs at the same speed, write
an equation to represent her distance and time.

Answer 1

Hence, the equation representing Sarah's distance and time is: D = 8T This equation shows that her distance in miles is equal to 8 times the time in hours.

Explanation:

To write an equation representing Sarah's distance and time, we can use the formula: Distance = Speed * Time Let's assign variables to the different quantities involved: Let D represent the distance in miles. Let T represent the time in hours. Let S represent the speed in miles per hour. According to the given information, Sarah ran for an hour and a half, which is equivalent to 1.5 hours, and the total distance covered was 12 miles. Therefore, we can write the equation as: D = S * T Substituting the known values into the equation, we have: 12 = S * 1.5 Simplifying the equation, we divide both sides by 1.5: S = 12 / 1.5 Simplifying further, we find that: S = 8