Verified Answer :

Time = 11/2 = 5 1/2

Road = 4 1/2 miles

Speed = 5 1/2 : 4 1/2 = 1 2/9 <------------answer

Answer: 3 miles per hour.

Step-by-step explanation:

Given : Aubrey can walk \(4\dfrac{1}{2}\) miles in \(1\dfrac{1}{2}\) hours.

We can first convert the mixed fraction into improper fraction.

i.e. Distance =  \(4\dfrac{1}{2}\text{ miles}=\dfrac{4(2)+1}{2}=\dfrac{9}{2}\text{ miles}\)

Time = \(1\dfrac{1}{2}\text{ hours}=\dfrac{2(1)+1}{2}=\dfrac{3}{2}\text{ hours}\)

Now, the average speed in miles per hour =\(\dfrac{\text{distance}}{\text{time}}\)

i.e. the average speed in miles per hour =\(\dfrac{\dfrac{9}{2}}{\dfrac{3}{2}}\)

i.e.  the average speed in miles per hour =\(\dfrac{9}{3}\)

i.e.  the average speed in miles per hour =\(3\)

Hence, her average speed is 3 miles per hour.