we are given that
She travels 6 miles in 2 hours
so, firstly we will find speed
we know that
speed = distance travelled / time taken
speed travelled = 6 miles
time taken =2 hours
so, speed is
[tex]v=\frac{6}{2} miles/hour[/tex]
[tex]v=3 miles/hour[/tex]
now, we are given speed is constant
And Ana travels 1.5 hours
so, time =1.5 hours
we have to find distance
we know that
distance = speed *time
we can plug values
[tex]distance=3*1.5 miles[/tex]
[tex]distance=4.5 miles[/tex].....................Answer