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4 miles per hour
6.4 miles ...? hours

6.4 / 4 = 1.6 hours

answer
she runs 1.6 hours for 6.4 miles

Time taken by runner to cover a distance of [tex]6.4[/tex] miles at a speed of [tex]4[/tex] miles per hour is equal to [tex]1.6[/tex] hours.

What is speed?

" Speed is defined as ratio of total distance covered to the total time taken."

Formula used

Speed [tex]= \frac{Total \ distance \ covered}{Total \ time \ taken}[/tex]

According to the question,

Given,

Distance [tex]= 6.4[/tex] miles

Speed [tex]= 4[/tex] miles per hour

't' represents the time taken

Substitute the value of speed and distance to get the time in the formula,

[tex]4 = \frac{6.4}{t} \\\\\implies t = \frac{6.4}{4}\\ \\\implies t = 1.6 hours[/tex]

Hence, time taken by runner to cover a distance of [tex]6.4[/tex] miles at a speed of [tex]4[/tex] miles per hour is equal to [tex]1.6[/tex] hours.

Learn more about speed here

brainly.com/question/7359669

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