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30 December, 03:53

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

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  1. 30 December, 03:56
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    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
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