Answer:
26.6 miles
Step-by-step explanation:
Given: A runner runs at 7.6 miles per hour.
To find: The number of miles he can run in \(3\frac{1}{2}\) hours.
Solution: To find the number of miles he can run in \(3\frac{1}{2}\) hours. We first need to simplify \(3\frac{1}{2}\)
So, we can write \(3\frac{1}{2}\) as \(\frac{7}{2}\)
Now, the speed of runner is 7.6 miles per hour. So, we can say that the runner can cover a distance of 7.6 miles in 1 hour.
To find the number of miles he ran we need to multiply the distance cover by the runner in 1 hour by \(\frac{7}{2}\)
So, we have
\(7.6\times\frac{7}{2}\)
\(=\frac{76}{10}\times\frac{7}{2}\)
\(=\frac{7\times38}{10}\)
\(\frac{266}{10}\)
\(=26.6\) miles
Hence, the runner can run 26.6 miles in \(3\frac{1}{2}\) hour.
