ticket to ride

[azz]

a. I have a ticket to ride.

b. I have a ticket to ride with.

Are both these sentences correct and do they mean the same?

Does one ride with a ticket?
Does one ride a ticket?

Is (a) really grammatical if we are talking about having a train ticket?
How about (b)?

"I have a key to open the door." is equivalent to "I have a key to open the door with."
Is (a) the equivalent of (b)?

I know the Beatles' song, but this is not a question about that song. It is just a question about the grammar of that sentence if the sentence is really about a bus ticket or something of the sort.

Many thanks.

[Alan]

It really ought to be something like:

I have a ticket to ride this bus/train.

However, much more natural in any case would be:

I have a ticket FOR this bus/train...