On a N-gauge model train set, a covered hopper car is 4.05 inches long. An actual covered hopper car is 54 feet long. What is the ratio of the length of the actual covered hopper car to the length of the model covered hopper car?

Length of an actual covered hopper car = 54 feet

We already know that

1 feet = 12 inches

Then

Length of an actual covered hopper car = (54 * 12) inches

= 648 inches

Length of a covered hopper car in a model train set = 4.05 inches

So the ratio of actual covered

hopper car to the length of a model covered hopper car is = 648:4.05

= 216: 1.35

= 24:0.15

= 8:0.05

It can be seen from the above deduction that the ratio of the length of the actual hopper car to the length of the model covered hopper car is 8:0.05.