Aubrey can walk 4 1/2 miles in 1 1/2 hours. Find her average speed in miles per hour.
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.