The speed of her bike in miles per hour is 8 miles per hour.
let
x = time she can ride 81 miles on car and 18 miles on bike
Therefore,
let the speed of the car = y + 28
speed of the bike = y
speed = distance / time
Therefore,
y + 28 = 81 / x
y = 18 / x
18 / x + 28 = 81 / x
28 = 81 / x - 18 / x
28 = 81 - 18 / x
28 = 63 / x
28x = 63
x = 63 / 28
x = 2.25
Therefore,
y = 18 / 2.25
y = 8 miles per hour
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