Answer:
Option (d) is correct.
Brain is running at the speed of [tex]5\frac{2}{3}[/tex] miles per hour.
Step-by-step explanation:
Given: Brian ran [tex]4\frac{1}{4}[/tex] miles in [tex]\frac{3}{4}[/tex] of an hour.
we have to find how fast Brian running.
Consider the given data
Brian ran [tex]4\frac{1}{4}[/tex] miles in [tex]\frac{3}{4}[/tex] of an hour.
Time = [tex]\frac{3}{4}[/tex] of an hour that is [tex]\frac{3}{4}[/tex] hour
And distance is [tex]4\frac{1}{4}[/tex] miles =[tex]\frac{17}{4}[/tex] miles
We know, [tex]speed=\frac{distance}{time}[/tex]
Substitute, we have,
[tex]Speed=\frac{17}{4}\div \frac{3}{4}[/tex]
Apply fraction rule, [tex]\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{17}{4}\times \frac{4}{3}[/tex]
Simplify, we have,
[tex]=\frac{17}{3}=5\frac{2}{3}[/tex]
Thus, Brain is running at the speed of [tex]5\frac{2}{3}[/tex] miles per hour.
