Answer: 48 miles per hour
Step-by-step explanation:
Given : Christy drove 132 miles in [tex]2\dfrac{3}{4}[/tex] hours.
We can first convert the mixed fraction into improper fraction.
i.e. Time = [tex]2\dfrac{3}{4}\text{ hours}=\dfrac{2(4)+3}{4}\text{ hours}[/tex]
[tex]\dfrac{8+3}{4}\text{ hours}=\dfrac{11}{4}\text{ hours}[/tex]
Now, the average speed in miles per hour =[tex]\dfrac{\text{distance}}{\text{time}}[/tex]
i.e. the average speed in miles per hour =[tex]\dfrac{132}{\dfrac{11}{4}}}[/tex]
i.e. the average speed in miles per hour =[tex]\dfrac{132\times4}{11}[/tex]
i.e. the average speed in miles per hour =[tex]12\times4=48[/tex]
Hence, her average speed is 48 miles per hour.
