math

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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?

a) 10
b) 12
c) 24
d) 25
e) 30


b) 12


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

Answer C

Kenny

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