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Zeke runs 1 ¼ of a mile in 3/20 of an hour. What is Zeke’s unit rate?

Sagot :

MrRoyal

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:

https://brainly.com/question/18065083

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