# In 1/4 hour, Kyle jogged 2 1/2 mi. Dee jogged 1 3/4 mi in 10 minutes Who ran at a faster rate? What is that rate?

Doe ran at a faster rate of

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Dee ran at a faster rate. Her rate was 0.175 miles per minute, while Kyle's rate was 0.1667 miles per minute.

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To compare their rates, first, convert Dee's jog distance to miles per hour (mph) since Kyle's jog distance is already in mph:

Kyle's rate: ( \frac{2 \frac{1}{2} \text{ mi}}{\frac{1}{4} \text{ hr}} )

Dee's rate: ( \frac{1 \frac{3}{4} \text{ mi}}{\frac{10}{60} \text{ hr}} )

Now, simplify the rates:

Kyle's rate: ( \frac{2.5}{0.25} = 10 \text{ mph} )

Dee's rate: ( \frac{1.75}{\frac{1}{6}} = 10.5 \text{ mph} )

Dee ran at a faster rate of 10.5 mph.

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