Solution:
Let x represent the number of miles Triana will travel each of the next three days. She aims to cover a total of 120 miles over four days. Since she has already traveled 24 miles on the first day, the distance left to cover is 120 - 24 = 96 miles. To find out how much she needs to travel each day for the remaining three days, we create the equation: 3x = 96.
Now, solving for x gives us:
x = 96 / 3
x = 32
Conclusion: Triana will travel 32 miles each of the next three days.
Explanation: After completing 24 miles on the first day, Triana must cover a total of 96 miles over the subsequent three days. By distributing this distance equally, she will need to travel 32 miles each day.