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