Two different teams consisting of 10 members each ran in a race. Each member's completion time of the race was recorded. The mean of the completion times for each team was calculated and is shown below.

Team A: 3.41 minutes

Team B: 3.79 minutes

Which of the following MUST be true?

I. Every member of team A completed the race in less time than any member of team B.

II. The median time it took the members of team B to complete the race is greater than the median time it took the members of team A to complete the race.

III. There is at least one member of team B who took more time to complete the race than some members of the team