Holding Rook v Rook+Bishop (or tl;dr)

Rook v Rook and Bishop is one of those endings which is almost always drawn in theory, but often lost in practice. I only had the ending once, on the defending side, and although I managed to hold out for 50 moves before getting mated, it was when FIDE had extended the '50 move rule' to 75 moves for this specific ending.

So it is often the case that the ending is reached, and the stronger side will play on, in the hope (or expectation) that the defender will slip up. And when they do, the game often appears in a magazine or blog with a comment about how hard it is to hold (or even worse, point out that there was a mate in 22, according to their tablebase).

So to balance the scales, I have picked a very recent game from the World Teams Championship. Lev Aronian captures Mamedov's last pawn on move 77, reaching RB v R. But Mamedov knows what to do and successfully holds out for the next 50 moves, before the draw is claimed. Although it is quite a long game, it might be worth playing through, if you want to pick up the correct defensive ideas.

Aronian,Levon (2801) - Mamedov,Rauf (2647) [E60]
World Teams 2013 Antalya TUR (5.4), 30.11.2013

1. d4 Nf6 2. c4 g6 3. Nf3 Bg7 4. g3 O-O 5. Bg2 c6 6. Nc3 d5 7. cxd5 cxd5 8. Ne5 Nc6 9. O-O Bf5 10. Nxc6 bxc6 11. Na4 Nd7 12. Bg5 Re8 13. Rc1 Rc8 14. b3 Qa5 15. Bd2 Qd8 16. Bb4 e5 17. dxe5 Nxe5 18. Bc5 Qa5 19. Re1 Bh6 20. f4 Ng4 21. e3 Bg7 22. h3 Nf6 23. Bd4 Be4 24. Bf1 Nh5 25. Kf2 Nf6 26. Qe2 Nd7 27. Bxg7 Kxg7 28. Red1 Kg8 29. Qb2 g5 30. Nc3 gxf4 31. gxf4 Bg6 32. Re1 Qd8 33. Kg1 Qh4 34. Qf2 Qxf2+ 35. Kxf2 Nf6 36. Bg2 Be4 37. Bf1 Bf5 38. Red1 Re7 39. Bg2 Rce8 40. Re1 Re6 41. b4 Be4 42. Bf1 Bg6 43. a3 Kf8 44. Bg2 Be4 45. Bf1 Bg6 46. Rcd1 h5 47. Bg2 h4 48. b5 Rc8 49. Rc1 d4 50. exd4 Rxe1 51. Rxe1 cxb5 52. Nxb5 a6 53. Nd6 Rd8 54. f5 Rxd6 55. fxg6 Rxd4 56. gxf7 Kxf7 57. Re5 Ra4 58. Re3 Kg6 59. Bb7 Kg5 60. Ke2 Kf4 61. Re6 Rxa3 62. Rxf6+ Kg5 63. Rb6 Rxh3 64. Rxa6 Rb3 65. Bd5 Rc3 66. Ra4 Rc2+ 67. Kd3 Rc8 68. Be6 Rd8+ 69. Ke4 Rd1 70. Ra5+ Kf6 71. Bh3 Rh1 72. Ra3 Rg1 73. Kf4 Rg3 74. Ra6+ Kg7 75. Bg4 Kf7 76. Rh6 Ke7 77. Rxh4 Ra3 78. Rh6 Ra4+ 79. Kg5 Rd4 80. Re6+ Kd8 81. Rc6 Ke7 82. Bf5 Rd1 83. Kf4 Rd6 84. Rc3 Kf6 85. Rh3 Rd4+ 86. Be4 Ra4 87. Rh6+ Kg7 88. Rg6+ Kf8 89. Ke5 Ra7 90. Bd5 Re7+ 91. Kf5 Rg7 92. Rh6 Ke7 93. Be4 Kd8 94. Ra6 Rf7+ 95. Ke5 Re7+ 96. Kd4 Ke8 97. Rf6 Kd8 98. Bc6 Rg7 99. Re6 Rg5 100. Bd5 Rg7 101. Kc5 Re7 102. Rg6 Rc7+ 103. Bc6 Rf7 104. Re6 Re7 105. Rd6+ Kc7 106. Bd5 Rd7 107. Ra6 Kd8 108. Be6 Rc7+ 109. Kd5 Ke7 110. Ke5 Rc5+ 111. Bd5 Kd7 112. Rh6 Kc7 113. Rh7+ Kb6 114. Kd6 Rb5 115. Bc6 Rb4 116. Rh8 Rd4+ 117. Bd5 Rb4 118. Rc8 Ka7 119. Kc5 Rb5+ 120. Kc4 Rb8 121. Rc6 Rb7 122. Kc5 Kb8 123. Rh6 Rc7+ 124. Bc6 Re7 125. Kd6 Rg7 126. Rh8+ Ka7 127. Kc5 1/2-1/2