For this case we have that Lynne must pay:
2.05 plus 0.90 per mile
We have then that the equation that models the problem is:
2.05 + 0.90x = 5.65
Where,
x: is the number of miles.
Clearing x we have:
0.90x = 5.65 - 2.06
x = 3.59 / 0.90
x = 4 miles
Answer:
the trip was:
x = 4 miles