Sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is Sarah's rate in miles per hour? Express your answer in a mixed number. show your work.

17 1/4 miles per hour

Step-by-step explanation:

First let's convert the mixed number to a fraction so it is easier to work with:

5 3/4 = (5*4 + 3)/4 = 23/4 miles.

Because she travelled it in a third of an hour, she could do it 3 times in 1 hour.

Because of this to get speed we divide the distance by the time taken.

23/4 divided by 1/3 is the same as saying 23/4 times 3:

(3*23)/4 = 69/4 = 17 1/4 miles per hour