Question

You are playing a new video game. It says that you have completed 15
of the game. You have played for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at this rate.

Answer 1

To find out how long it will take to complete the video game based on the rate at which you are progressing, we can set up the problem using a proportional relationship.

1. You've completed 15% of the game in 23 minutes.
2. We want to find out how long it would take to complete 100% of the game.

Let \( x \) be the total time it will take to complete the game. We can set up the following proportion based on your current progress:

\[
\frac{15}{100} = \frac{23}{x}
\]

Now we can cross-multiply:

\[
15x = 100 \times 23
\]

Calculating the right side:

\[
100 \times 23 = 2300
\]

So now we have:

\[
15x = 2300
\]

Next, divide both sides by 15 to solve for \( x \):

\[
x = \frac{2300}{15}
\]

Calculating \( \frac{2300}{15} \):

\[
x \approx 153.33
\]

So, it will take approximately **153.33 minutes** to complete the game at the current rate.

In conclusion, it will take about **153 minutes and 20 seconds** to complete the video game.