To find out how long it will take to complete the entire game, we can set up a proportion based on the information given:
You have completed \( \frac{1}{5} \) of the game in 23 minutes. Let \( x \) represent the total time (in minutes) to complete the entire game.
According to the information:
\[ \frac{1}{5} \cdot x = 23 \]
Now, solve for \( x \):
- Multiply both sides of the equation by 5 to eliminate the fraction:
\[ x = 23 \cdot 5 \]
- Calculate:
\[ x = 115 \]
Thus, it will take a total of 115 minutes to complete the entire game at the same rate.