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Answer :
The unit rate is the number of miles, Zeke runs in an hour.
Zeke's unit rate is: [tex]\mathbf{8\frac{1}{3}\ mile/hr }[/tex]
The given parameters are:
[tex]\mathbf{Distance = 1\frac 14\ mile}[/tex]
[tex]\mathbf{Time = \frac{3}{20} \ hr}[/tex]
The unit rate is then calculated as:
[tex]\mathbf{Rate = Distance \div Time}[/tex]
This gives
[tex]\mathbf{Rate = 1\frac 14\ mile \div \frac{3}{20} \ hr}[/tex]
Express as improper fraction
[tex]\mathbf{Rate = \frac 54\ mile \div \frac{3}{20} \ hr}[/tex]
Change division to products
[tex]\mathbf{Rate = \frac 54\ mile \times \frac{20}{3hr} }[/tex]
[tex]\mathbf{Rate = \frac 51\ mile \times \frac{5}{3hr} }[/tex]
[tex]\mathbf{Rate = \frac{25\ mile}{3hr} }[/tex]
Express as mixed number
[tex]\mathbf{Rate = 8\frac{1}{3}\ mile/hr }[/tex]
Hence, the unit rate is: [tex]\mathbf{8\frac{1}{3}\ mile/hr }[/tex]
Read more about unit rates at:
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