Question

HELP ME PLEASE I NEED THE ANSWER

1. Jason, Patti, and Quincy were running around the track during their P.E. class. If each runner ran at a
constant rate of speed, draw a graph to represent each runner's speed in meters per minute. Label
each line with the runner's name.
Running Time
• Patti ran at a rate of 300 meters every 60 seconds.
• Jason ran at a rate of 500 meters per 1.25 minutes.
Quincy ran 600 meters in 2 minutes and 30 seconds.
230
800F
700H
600
5001
at
Distance (meters)
4001
3001
2001
1001
3.75
0.75 1.5 2.25
Time (minutes)
0.15
Fill in the table for each person's time at various distances.
Jason's Time
(minutes)
0
Quincy's Time
(minutes)
0
Patti's Time Distance
(minutes) (meters)
0
0
150
300
450
600
Distance
(meters)
0
200
300
400
500
Distance
(meters)
0
240
360
480
600
1.25
2.5
Who ran the fastest? Explain how this is shown on the graph and in the tables?

Answer 1

1) Please find attached the distance and speed time graphs

2) Please find attached the distance time tables

3) The fastest runner is Jason, as shown by the topmost line in the graphs

4) On the tables Jason is seen to have covered 400 meters in one minute, while Patti covered 300 meters and Quincy covered in the same one minute time interval

Explanation:

The given speed of the runners are;

The rate at which Patti ran = 300 meters in 60 seconds

The rate at which Jason ran = 500 meters in 1.25 minutes

The rate at which Quincy ran = 600 meters in 2 minutes and 30 seconds

The formula for speed is given as follows;

Speed = Distance ran/(Time to cover the distance)

Therefore, the speed of each of the runners are;

Patti's speed = 300 m/(60 seconds) = 300 m/(1 minute) = 300 m/min

Jason's speed = 500 m/(1.25 minute) = 400 m/min

Quincy's speed = 600 m/(2 minutes and 30 seconds) = 600 m/(2.5 minutes)

∴ Quincy's speed = 240 m/min

Therefore, we have

1) The distance and speed time graphs are attached

2) The distance time tables are attached

3) The fastest runner is Jason, as shown by the topmost line in the graphs

4) The fastest runner is Jason as seen by the covered distance of 400 meters in one minute.