Question

You finish a three-mile walking race in 27.5 minutes. Write an inequality that describes the average speed of a walker who finished after you did.

Short answer

The inequality that describes the average speed of a walker who finished after you did is \( s < \frac{3}{\frac{27.5}{60}} \) miles per hour.

Step-by-step solution

Convert minutes to hours

The time of 27.5 minutes needs to be converted to hours because speed is typically measured in miles per hour. This can be done by dividing by 60, because there are 60 minutes in an hour. So, the time in hours is \( \frac{27.5}{60} \) hours.

Calculate the average speed

The average speed is calculated by dividing the total distance by the total time. The distance in this case is 3 miles. So the average speed is \( \frac{3}{\frac{27.5}{60}} \) miles per hour.

Write the inequality

Anyone that finished after you did was slower. Their speed would be less than your speed. If we denote their speed as 's', then the inequality is \( s < \frac{3}{\frac{27.5}{60}} \) miles per hour.