Sixteen teams are playing in a basketball tournament. Each team will play one game against another team during the first round of the tournament. There is only one gym, so only one game can be played at a time. They have 6 hours to complete the first round. What is the maximum length of time that can be allowed for each game?

number of games needed = C(16,2) = 120

6 hours = 360 minutes
time per game = 360/120 minutes = 3 minutes ????

silly question.

you got the answer rong the right answer was 45 minuts.

To determine the maximum length of time allowed for each game, we need to divide the total available time (6 hours) by the number of games that need to be played (16 games).

So, 6 hours / 16 games = 0.375 hours per game.

To convert this to minutes, we multiply 0.375 hours by 60 minutes, which gives us:
0.375 * 60 = 22.5 minutes.

Therefore, the maximum length of time that can be allowed for each game is 22.5 minutes.

To find the maximum length of time that can be allowed for each game, we need to divide the total available time by the total number of games.

In this case, there are 16 teams, so each team will play against one other team during the first round. Therefore, there will be a total of 16/2 = 8 games in the first round.

We know that they have 6 hours to complete the first round, so we need to divide the total available time (6 hours) by the total number of games (8).

6 hours / 8 games = 0.75 hours per game

To convert this to minutes, we can multiply by 60:

0.75 hours * 60 minutes/hour = 45 minutes per game

Therefore, the maximum length of time that can be allowed for each game is 45 minutes.