Question

Jason and Eddy are traveling from Jacksonville to Miami, which is a distance of 382 miles. According to the American Automobile Association (AAA) map, it takes 1 hour and 54 minutes to travel from Jacksonville to Daytona, 2 hours and 51 minutes to travel from Daytona Beach to Fort Pierce, 1 hour and 23 minutes to travel from Fort Pierce to West Palm Beach, and 1 hour and 38 minutes to travel from West Palm Beach to Miami. If Jason and Eddy follow the AAA guidelines, what would be their average speed (in mph) for the trip

Answer 1

Answer:

The value is  $v = 49.23 \ mph$

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  $t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours$

  The  time it take to travel from Daytona Beach to Fort Pierce is $t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours$

    The  time it take to travel from Fort Pierce to West Palm Beach is  

$t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours$

     The  time it take to travel from West Palm Beach to Miami $t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours$

Generally the average speed is mathematically represented as

      $v = \frac{d}{t_1 + t_2 +t_3 + t_4 }$

=>   $v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }$

=>    $v = 49.23 \ mph$