Question

if it takes hannah 6.5 hours to ride moped to gainesville from tamp and dylan travels 30 mph faster and it takes 2.6 to travel same distance how far is gainesville from tampa

Answer 1

let the distance be d miles

for Hannah:
let her speed be x mph
d = 6.5x

for Dylan:
let his speed be x+30 mph
d = 2.6(x+3)

6.5x = 2.6(x+30)
6.5x = 2.6x + 78
3.9x = 78
x = 20

then d = 6.5(2) or 130 miles

(I would have that "caps lock" malfunction looked after on your keyboard. )