Answer:
The value is [tex]v = 49.23 \ mph[/tex]
Step-by-step explanation:
From the question we are told that
The distance from Jacksonville to Miami is d = 382 miles
The time it take to travel from Jacksonville to Daytona is [tex]t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours[/tex]
The time it take to travel from Daytona Beach to Fort Pierce is [tex]t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours[/tex]
The time it take to travel from Fort Pierce to West Palm Beach is
[tex]t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours[/tex]
The time it take to travel from West Palm Beach to Miami [tex]t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours[/tex]
Generally the average speed is mathematically represented as
[tex]v = \frac{d}{t_1 + t_2 +t_3 + t_4 }[/tex]
=> [tex]v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }[/tex]
=> [tex]v = 49.23 \ mph[/tex]
