posted by Christine on .
there are 12 men on a basketball team, and in a game 5 of them play at any one time. if the game is 1 hr long and if each man plays exactly the same amount of time how many minutes does each man play?
NO. Its d) 25.
With a 60 minute game and 5 players, there is a total of 300 total playing minutes. 300 divided into 12 players = 25.
Another way of looking at this is to examine smaller cases.
2 out of 3 players playing for 60 minutes results in each playing 40 minutes (plot it out)
2 out of 4 players playing for 60 minutes results in each playing 30 minutes.
2 out of 5 players playing for 60 minutes results in each playing 24 minutes.
Carrying this out further results in the simple expression of IPT = pT/P where IPT = the individual playing time for each player, p = the number of players playing at any one time, P = the number of players available, and T = the total game playing time.
Therefore, in your example with 5 players playing out of 12 available for a total of 60 minutes, IPT = 5(60)/12 = 25.
Total time for all players in the
court = 60*5 =300 min.
Since each oth 12 men plays the same
amount of time 300/12 = 25 min