What is the Surname of Barbie Doll?

A famous swimmer can swim downstream in a lake in exactly 40 minutes with the lake current.
He can swim upstream in that lake in exactly 60 minutes against the lake current.
The length of the lake is 2 km.

How long he can cover the distance of one side at a still lake with no current?

It has a long neck, A name of a bird, Feeds on cargo of ships, It's not alive,

What is it?

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

There is something which is always coming but never arrives?

I know a 5-digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Guess the number?

I have one of the three numbers: 1, 2, or 3 in my mind. I speak only truth. You can ask me just one question for which I will only reply in yes or no or don't know. What question will you ask from me so that you are able to know the number?

I have branches, but no fruit, trunk or leaves. What am I?

It's pretty hard to give up.
If you remove a part of it, you will be left with a bit.
Even if you remove another part, the bit still remains.
Remove one more and it still remains.

What is it?