user15543: I played a game on Lichess today as white, and me and my opponent reached this interesting endgame position.
[Title "Rewan Demontay-NN, Lichess, 5/14/19"]
[StartFlipped "0"]
[FEN "8/8/3r1kP1/5B2/4PK2/8/8/8 b - - 0 1"]

With Black to play, is this KBPP vs. KR position a draw or a win, with perfect play by both sides?
It looks like a draw to me. White can make no progress here. Black cannot exchange his rook for the bishop and a pawn at any point, or else the other white pawn will advance ahead and promote. Therefore, each side will effectively end up making infinite waiting moves. That is what happened in our game, and it was drawn by the 50 move rule.
Although I could use a computer, I wish to know how I can tell it is a draw without one.

user18809: IF White wanted to have any winning chances, the pawns should either be connected or, at least, staying in dark squares for quite some time. In the presented position, even if the central pawn pushes, Black will be able to blockade in the second rank

user12873: Yes it's a draw. It's hard enough for White to win these endgames with 2 split pawns if he had a rook instead of a bishop.

15543: <p>I played a game on <a href="https://lichess.org/DGt2RK1W/white#109" rel="nofollow noreferrer">Lichess</a> today as white, and me and my opponent reached this interesting endgame position.</p>

<pre><code>[Title "Rewan Demontay-NN, Lichess, 5/14/19"]
[StartFlipped "0"]
[FEN "8/8/3r1kP1/5B2/4PK2/8/8/8 b - - 0 1"]
</code></pre>

<p>With Black to play, is this KBPP vs. KR position a draw or a win, with perfect play by both sides?</p>

<p>It looks like a draw to me. White can make no progress here. Black cannot exchange his rook for the bishop and a pawn at any point, or else the other white pawn will advance ahead and promote. Therefore, each side will effectively end up making infinite waiting moves. That is what happened in our game, and it was drawn by the 50 move rule.</p>

<p>Although I could use a computer, I wish to know how I can tell it is a draw without one.</p>
 18809: <p>IF White wanted to have any winning chances, the pawns should either be connected or, at least, staying in dark squares for quite some time. In the presented position, even if the central pawn pushes, Black will be able to blockade in the second rank</p>
 12873: <p>Yes it's a draw. It's hard enough for White to win these endgames with 2 split pawns if he had a <em>rook</em> instead of a bishop.</p>
