To determine the duration each player plays in the football game, we start by considering the game's total playing time and the number of players involved. The game lasts for a total of 90 minutes with 11 initial players and 4 substitutes, making a combined total of 15 players.
Since the substitutes alternate equally during the match, each player, including substitutes, plays an equal amount of time. Hence, we divide the total playing time by the number of players to find the duration each player participates in the match.
Therefore, the equation for this is:
Duration per player = Total time / Total players
Substituting the known values gives:
Duration per player = 90 minutes / 4
This simplifies to:
Duration per player = 22.5 minutes
Thus, each player plays for 22.5 minutes. The correct option is 22.5 mins.