Answer :
The distance Maya traveled is (6t + 9r) miles
Speed, distance and time
From the question, we are to determine the distance Maya traveled
First, we will determine the speed at which she runs and the speed at which she bikes
Using the formula,
[tex]Speed = \frac{Distance}{Time}[/tex]
- Running
Distance = 18 miles
Time = 3 hours
Then,
Speed = [tex]\frac{18}{3}[/tex]
Speed = 6 miles/hour
- Biking
Distance = 18 miles
Time = 2 hours
Then,
Speed = [tex]\frac{18}{2}[/tex]
Speed = 9 miles/hour
Now, for the distance she ran for t hours
From
Distance = Speed × Time
Distance = 6 × t
Distance = 6t miles
For the distance she bikes for r hours
Distance = 9 × r
Distance = 9r miles
Total distance traveled = 6t + 9r miles
Hence, the distance Maya traveled is (6t + 9r) miles
Learn more on Speed, distance and time here: https://brainly.com/question/25141502