you finish a two-mile walking race in 36.5 minutes. Write an inequality for the average speed of the walkers who finish after you did. (Average speed= distance/time)
Average speed= distance/time
=2 miles / 36.5 minutes
= 2/(36.5/60) miles per hour
Your only have to convert the equality to an inequality according to the facts, namely those who arrive afterwards will take more time, i.e. the denominator will get bigger.
Your average speed is 3.288 miles/hr
For those slower than you,
Vav < 3.288 miles/hr
To write an inequality for the average speed of the walkers who finish after you did, let's denote the average speed of the other walkers by V and the average speed at which you completed the race by V₂.
The average speed formula is given by: average speed = total distance / total time.
We know that you finished the two-mile walking race in 36.5 minutes, which implies an average speed:
V₂ = 2 miles / 36.5 minutes
To write an inequality for the average speed of the walkers who finish after you did, we need to show that their average speed is slower than yours. Since they finish the same race, we can consider their average speed as V:
V < V₂
Therefore, the inequality for the average speed of the walkers who finish after you did is V < (2 miles / 36.5 minutes).