To find out how far Triana will travel on each of the remaining three days, we can set up the equation based on the total distance she needs to cover.
- Total distance: 120 miles
- Distance traveled on the first day: 24 miles
- Distance remaining over the next three days: \(120 - 24 = 96\) miles
- Let \(x\) be the distance she travels each of the remaining three days.
So, the equation can be set up as follows:
\[ 3x = 96 \]
This means that the total distance for the three remaining days (3 times the distance she travels each day) equals 96 miles.
Now, we can solve for \(x\):
- Divide both sides by 3:
\[ x = \frac{96}{3} \]
- Calculate:
\[ x = 32 \]
Thus, Triana will travel 32 miles each day for the remaining three days.
Sentence to explain the answer: Triana will travel 32 miles on each of the next three days to complete her 120-mile bike ride.