Felicia left Rome at 8am and drove her Ferrari at 8mph from Rome to Sorrento. she then took the boat to Capri for the day, returning to Sorrento 5 hours later. on the return trip from Sorrento to Rome she averaged 60mph and arrived in Rome at 8pm. How far is it from Rome to Sorrento?
8 mph??
Lol probably driving slow so she can flex her imaginary Ferrari
To find the distance from Rome to Sorrento, we need to calculate the total time Felicia spent on driving and the total time she spent on the boat.
First, let's calculate the time Felicia spent traveling from Rome to Sorrento:
Distance = Speed × Time
8 miles per hour × Time = Distance
Since she left at 8 am and arrived in Sorrento 5 hours later, the time spent driving is 5 hours.
Next, let's calculate the time she spent on the boat:
Felicia took the boat to Capri for the day and returned to Sorrento 5 hours later. Therefore, she spent a total of 10 hours (5 hours each way) on the boat.
Now, let's calculate the time she spent on the return trip from Sorrento to Rome:
She arrived in Rome at 8 pm, and we know she left Sorrento at least 5 hours before reaching Rome. So, she spent a maximum of 12 hours (8 am to 8 pm) traveling from Sorrento to Rome.
Next, let's calculate the distance she traveled on the return trip from Sorrento to Rome:
Distance = Speed × Time
60 miles per hour × Time = Distance
Since she had a maximum of 12 hours, the distance traveled is 60 miles per hour × 12 hours = 720 miles.
To find the distance from Rome to Sorrento, we need to subtract the distance traveled on the return trip from the total distance traveled:
Total distance = Distance from Rome to Sorrento + Distance from Sorrento to Rome
720 miles = Distance from Rome to Sorrento + Distance from Sorrento to Rome
Since Felicia traveled the same distance on both legs of the journey, we can calculate the distance from Rome to Sorrento:
Distance from Rome to Sorrento = (Total distance - Distance from Sorrento to Rome) / 2
Distance from Rome to Sorrento = (720 miles - 720 miles) / 2 = 0 miles
Therefore, the distance from Rome to Sorrento is 0 miles.