Hi there!
Recall the formula:
Δd = vt, where:
v = velocity (mph in this instance)
t = time (hours)
Since the second car starts 2 hours after the first car, we can write this as:
Time for second car: t - 2
Set the two equations equal to each other:
55(t - 2) = 45t
Solve for t:
55(t - 2) = 45t
Simplify:
55t - 110 = 45t
10t = 110
t = 11 hours
Plug into one of the equations:
distance travelled = 45(11) = 495 miles