Sandy is racing her sister home, but they each take a different route. Who will win: the one with the greatest average speed or the one with the greatest average velocity? Explain, using some sample numbers.
This person is poorly worded. Unless you know something about the time taken to arrive, the same person may have both higher average speed and higher average velocity.
Average velocity is the straight-line distance between home and destination, divided by time.
If the average speeds were the same, the person with higher average velocity would get there first because she would be following a more direct route.