Susan drove to visit a friend. She drove 345

miles in 5 hours and 45 minutes. What was her

average speed, to the nearest tenth of a mile per

hour?

Respuesta :

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]