Answer:
[tex]Average\ Speed = 60 mi/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 345\ miles[/tex]
[tex]Time = 5\ hours\ 45\ minutes[/tex]
Required
Determine the average speed
This is calculated as thus:
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
Convert time to hour:
[tex]Time = 5\ hours\ 45\ minutes[/tex]
[tex]Time = 5\ hours + \frac{45}{60}\ hour[/tex]
[tex]Time = 5\ hours + \frac{3}{4}\ hour[/tex]
[tex]Time = \frac{20 + 3}{4}\ hours[/tex]
[tex]Time = \frac{23}{4}\ hours[/tex]
[tex]Time = 5.75\ hours[/tex]
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
[tex]Average\ Speed = \frac{345}{5.75}[/tex]
[tex]Average\ Speed = 60 mi/hr[/tex]