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 [tex]3\frac{1}{2}[/tex] hours.
Solution: To find the number of miles he can run in [tex]3\frac{1}{2}[/tex] hours. We first need to simplify [tex]3\frac{1}{2}[/tex]
So, we can write [tex]3\frac{1}{2}[/tex] as [tex]\frac{7}{2}[/tex]
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 [tex]\frac{7}{2}[/tex]
So, we have
[tex]7.6\times\frac{7}{2}[/tex]
[tex]=\frac{76}{10}\times\frac{7}{2}[/tex]
[tex]=\frac{7\times38}{10}[/tex]
[tex]\frac{266}{10}[/tex]
[tex]=26.6[/tex] miles
Hence, the runner can run 26.6 miles in [tex]3\frac{1}{2}[/tex] hour.
