If you have completed \( \frac{1}{5} \) of the game in 23 minutes, we can set up an equation to find out how long it will take to complete the entire game at the same rate.
First, let's denote the total time to complete the game as \( T \) (in minutes). Since you have completed \( \frac{1}{5} \) of the game in 23 minutes, we can express that as:
\[ \frac{1}{5} T = 23 \]
To find \( T \), we can multiply both sides of the equation by 5:
\[ T = 23 \times 5 \]
Calculating this gives:
\[ T = 115 \]
Therefore, it would take a total of 115 minutes to complete the entire game at the same rate of play.
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