To find out how long it will take to complete the entire game at the current rate, we can set up an equation.
- You have completed \( \frac{1}{5} \) of the game in 23 minutes.
- Let \( x \) be the total time it takes to complete the entire game.
Since 23 minutes corresponds to \( \frac{1}{5} \) of the game, we can write the equation:
\[ \frac{1}{5} \cdot x = 23 \]
To solve for \( x \), we can multiply both sides by 5:
\[ x = 23 \cdot 5 \]
Now, calculate \( 23 \cdot 5 \):
\[ x = 115 \]
So, it will take 115 minutes to complete the game.