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:
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