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Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.

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jaimemenendezalvarez

Answer: Hank hike 36 miles in 9 h.

6 hours for 24 miles

9 hours for x miles

[tex]Hank_{rate} =24/6=4\;mi/h[/tex]

[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]

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