Let's denote the distance Jamie needs to travel with the variable D. We know from the given information that Jamie has already driven 55 miles, which represents 5/11 of the total distance. We can formulate this as an equation:
(5/11)D = 55
We're trying to find the total distance Jamie needs to travel, which is D. We can solve for D by dividing both sides of the equation by 5/11, which leaves us with:
D = 55 / (5/11)
Performing the division gives us the total distance, D:
D = 121.0 miles
So, Jamie needs to travel a total of 121.0 miles.