Felicia left home at 8 a. m. driving her Ferrari at 80 mph from Rome to Sorrento. After spending 5 hrs in town, she drove back at 60mph, arriving in Rome at 8 p. m. How far is it from Rome to Sorrento

distance between Rome to Sorrento is 240 miles

Explanation:

given data

speed = 80 mph

time = 5 hours

reduce speed = 60 mph

to find out

distance between Rome to Sorrento

solution

let us consider time from Rome to Sorrento is x

we know 8 am to 8 pm total 12 hours and 5 hours in town spend so 12 - 5 = 7

so we say that time back is 7 - x

we know distance was same

so distance is speed * time

compare both side distance

80 x = 60 (7-x)

80 x = 420 - 60 x

x = 3

so distance is = 80 (3) = 240 miles

distance between Rome to Sorrento is 240 miles