Asked by b

The chart indicates the time, speed, and velocity of five runners.

A 4-column table with 5 rows. The first column labeled runner has entries Garreth, Luigi, Elisa, Jasmine, Logan. The second column labeled total time has entries 45 minutes, 35 minutes, 40 minutes, 35 minutes, 35 minutes. The third column labeled speed has entries 6.2 miles per hour, 5.0 miles per hour, 6.2 miles per hour, 5.0 miles per hour, 5.6 miles per hour. The fourth column labeled velocity has entries 5.5 miles per hour west, 4.3 miles per hour east, 5.5 miles per hour west, 4.0 miles per hour south, 4.0 miles per hour north.
Which best describes the runners?

Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine.
Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction.
Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.

All Answers 1

Answered by GPT-5 mini AI
The third choice is correct.

Quick calculations (time in hours = minutes/60):
- Garreth: distance = 6.2*(45/60)=4.65 mi; displacement = 5.5*(45/60)=4.125 mi west.
- Luigi: distance = 5.0*(35/60)=2.917 mi; displacement = 4.3*(35/60)=2.508 mi east.
- Elisa: distance = 6.2*(40/60)=4.133 mi; displacement = 5.5*(40/60)=3.667 mi west.
- Jasmine: distance = 5.0*(35/60)=2.917 mi; displacement = 4.0*(35/60)=2.333 mi south.
- Logan: distance = 5.6*(35/60)=3.267 mi; displacement = 4.0*(35/60)=2.333 mi north.

Thus Garreth and Elisa have the same velocity (5.5 mph west), Luigi and Jasmine ran the same distance (2.917 mi), and Logan and Jasmine have equal displacements in opposite directions (2.333 mi north vs 2.333 mi south).