To solve this problem, we first need to determine how many miles Triana has left to travel after the first day. She started with a total of 120 miles and traveled 24 miles on the first day.
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Calculate the remaining distance:
Remaining distance = Total distance - Distance traveled on the first day
Remaining distance = 120 miles - 24 miles = 96 miles -
Let x be the distance she will travel on each of the remaining three days.
Since she wants to travel equal amounts each day for the next three days, we can express this as:
\(3x = 96\)
This equation is in the form of \(px + q = r\) where \(p = 3\), \(q = 0\), and \(r = 96\). -
Solve for x:
\[ x = \frac{96}{3} = 32 \]
Thus, Triana will travel 32 miles on each of the remaining three days.
- Summary sentence:
Triana will travel 32 miles each day for the next three days in order to complete her 120-mile bike ride, after covering 24 miles on the first day.