Answer:
They will be at the same position after 2 hours.
Step-by-step explanation:
Here, it should be asked the time it will take for Anita to catch Brad.
Anita began riding at start of the path and is riding at rate of 18 mile per hour.
This means that, after t hours, her position will be given by:
[tex]A(t) = 18t[/tex]
Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour
This means that, after t hours, his position will be given by:
[tex]B(t) = 10 + 13t[/tex]
After how much time will they be at the same position?
This is t for which:
[tex]A(t) = B(t)[/tex]
So
[tex]18t = 10 + 13t[/tex]
[tex]5t = 10[/tex]
[tex]t = \frac{10}{5}[/tex]
[tex]t = 2[/tex]
They will be at the same position after 2 hours.
