What will be a natural way to increase the length of "last one to. "?

Two people are racing to the camping site in their cars. So one of them says:

Last one to the camping site has to do the cooking.

Can it be:

The person who get there last has to do the cooking.

Is it correct to use it this way?

What will be a natural way to increase the length of "last one to. "?

Two people are racing to the camping site in their cars. So one of them says:

Last one to the camping site has to do the cooking.

Can it be:

The person who gets there last has to do the cooking.

Is it correct to use it this way?