Respuesta :

7/12 of 1 hour:

1 hour = 60 min.

7/12 * 60

7 * 5 = 35

Francis ran 2 1/2 miles in 35 min.

2 1/2 = 5/2


5/2 miles = 35 min

x miles = 60 min

(Cross Multiply)


5/2 * 60 = 35x

5 * 30 = 35x

150 / 35 = x

x = 30 / 7 = 4 2/7 miles


Francis ran 4 2/7 miles in one hour.


Francis can run approx 4.285 miles in one hour.

Given that:

Francis ran [tex]2\dfrac{1}{2}[/tex] ( = 5/2)  miles in [tex]\dfrac{7}{12}[/tex] hour.

To find: How many miles can Francis run in one hour?

Calculations and arrangement of equations:

[tex]\text{Speed of Francis} = \dfrac{\text{Distance covered}}{\text{time Taken}}\\\\\text{Speed of Francis} = \dfrac{\dfrac{5}{2}}{\dfrac{7}{12}} \: \rm mph\\\\\\\text{Speed of Francis} = \dfrac{30}{7} \: \rm mph[/tex]

Since the speed calculated is in mph (miles per hour); thus, in one hour, Francis will cover   [tex]\dfrac{30}{7} \approx 4.285 \: \rm miles[/tex]

Learn more about speed, distance and time here:

https://brainly.com/question/7359669