Answer:
Ms. Thomas was driving at constant rate of 52 miles/hour.
Explanation:
Given:
Total time to travel (t) = 45 minutes
Distance drove (d) = 39 miles
we need to find the constant rate in miles per hour at which she was driving.
Solution:
Now we know that;
We need to find constant rate at miles per hour;
But time is given in minutes.
So we will convert minutes into hour by dividing by 60 we get;
time
![t =(45)/(60)= 0.75\ hrs](https://img.qammunity.org/2021/formulas/mathematics/high-school/ex68wz7fn0k9jvoy7viph9h09eo27kk5aw.png)
Now we know that;
Distance is equal to rate times time.
framing in equation form we get;
distance
![d =rt](https://img.qammunity.org/2021/formulas/mathematics/high-school/ff0e62044a941dxcndtxxyvxjc3sk8cb26.png)
Or
rate
![r= (d)/(t) = (39)/(0.75)= 52 \ mi/hr](https://img.qammunity.org/2021/formulas/mathematics/high-school/fgjxwbqlnk1jxpdo8sb2ue4oy250c6wd0q.png)
Hence Ms. Thomas was driving at constant rate of 52 miles/hour.