To find out how long it will take to complete the video game at the current rate, we can set up a proportion based on the information given:
You have completed 15% of the game in 23 minutes. We want to find the total time, \( T \), it will take to complete 100% of the game.
We can set up the equation:
\[ \frac{15}{100} = \frac{23}{T} \]
Now, we can cross-multiply to solve for \( T \):
\[ 15T = 100 \times 23 \]
Calculating the right side:
\[ 100 \times 23 = 2300 \]
So we have:
\[ 15T = 2300 \]
Now, divide both sides by 15 to solve for \( T \):
\[ T = \frac{2300}{15} \]
Calculating that gives:
\[ T \approx 153.33 \text{ minutes} \]
Therefore, it will take approximately 153.33 minutes to complete the game.