To determine how far China will travel over the remaining 3 days, we can set up the following equation.
Let \( x \) be the distance she travels each day over the remaining 3 days. Since she has already traveled 24 miles on the first day, the total distance she needs to travel is 120 miles.
The equation can be expressed as:
\[ 24 + 3x = 120 \]
Here,
- \( p = 3 \)
- \( q = 24 \)
- \( R = 120 \)
Now, let's solve the equation for \( x \):
- Subtract 24 from both sides:
\[ 3x = 120 - 24 \] \[ 3x = 96 \]
- Divide both sides by 3:
\[ x = \frac{96}{3} \] \[ x = 32 \]
So, China will travel 32 miles each day for the remaining 3 days.
To summarize in a sentence: China will travel 32 miles each of the next 3 days to complete her goal of 120 miles.