I don't know what you mean by waiting for d4.  The d-pawn will sit waiting for the black e-pawn to advance to e4, then capture it.  If black initially moves his h-pawn, White King moves Kd5 and has a clear line to block promotion at h1; it is then too late to block it by moving pawn to e4.

Not difficult.

good puzzle.next time a bit harder

1ST....easy

But 4. ...   Kd8  prevents white from promoting.

Easy

Why not 1...h4? I don't see why Black has to give away a pawn.

easy

that was fairly easy, but it was a good puzzle.

Because the White King can make a run for the corner and catch the pawn. But after the move actually played, there's either a White pawn in the way of his own King, or (if White doesn't take) the centre pawn is queening instead.

Here, after 1... e4 2.dxe4                  You mean in todays problem!

2. dxe4

And black wins a tempo.

got it..

hmmmmmmmm

werid

Ehh.. I don't think the pawn sacrifice is all that needed...

easy endgame