Question 1170460
Using system of equations, where x is the number of km and y is the cost
65+0.2x=y
30+0.55x=y

Move the x variable to the other side to get:
y-0.2x=65
y-0.55x=30

Subtract the two equations to get rid of the y variable to get:
0.35x=35
Divide both side by 0.35 to get x=100

Plugging x into our equations, 65+0.2*100=65+20=85, 30+0.55*100=30+55=85

So the cost of renting a luxury at the same price for both companies is when you travel for 100km, or when the price is $85.