At the very least, you're guaranteed the computer will move a pawn after 50 moves (and no captures) to avoid a draw. Perhaps you are underestimating how many moves it can take to end the scenario. Keep at it!
Drill: King and Pawn Endgame: Opposition Master HELP!
This drill took me forever to understand. In case anyone reading this is still wondering, Ke4, Kd4, Ke4, Kd4... forces a draw by repetition. if black moves their king anywhere else, white can slide by and attack black's pawns.
Darth_Spongegar, I tried that but then the black king killed my pawn and advanced his pawns. I could not take any of the pawns Because the king just stood right by the pawns. I personally think chess.com should add a feature that would show you the solve if you cant figure it out.

I just had a go, played 30+ moves. I'm at work so can't spend very long on it - what's supposed to happen, if I play correctly for 50 moves will it say it's complete?

For 30 or so moves computer tried to get opposition or lure me out of square of h-pawn. I have to use direct opposition / long opposition / diagonal opposition / long opposition with 5 squares in between kings. After that it pushed h-pawn which I took but it won my g-pawn I again took opposition and used standard procedure of king pawn ending. Computer suggested draw on 45th move.

2. Re4 Rd6 3. Rd4 Re7 4. Re5 Rf7 5. Rd5 Rf8 6. Rd4 Rf7 7. Rd5 Re7 8. Re5 Rd7 9. Rd5 Rc7 10. Re5 Rc6 11. Re4 Rb7 12. Rd5 Rc7 13. Re5 Rc6 14. Re4 Rb5 15. Rd5 Ra4 16. Re4 Rb3 17. Rd3 Rb4 18. Rd4 Ra5 19. Re5 Rb5 20. Rd5 Rb6 21. Rd4 Rb7 22. Rd5 Rc8 23. Re4 Rd8 24. Rd4 Rd7 25. Rd5 Re8 26. Re4 Rf8 27. Rf4 Rf7 28. Rf3 Re7 29. Re3 Rd7 30. Rd3 Rc7 31. Re3 Rb7 32. Rd3 Rc7 33. Re3 Rb7 34. Rd3 Ra6 35. Re4 Ra5 36. Re5 Rb6 37. Rd4 h4 38. Re4 Rc6 39. Rf4 Rd6 40. Rg4 Re6 41. Rxh4 Rf5 42. Rh3 Rxg5 43. Rg3 Rh5 44. Rh3 g5 45. Rg3 g4 46. Rg2 Rh4 47. Rh2 g3+ 48. Rg2 Rg4 49. Rg1 Rf3 50. Rf1 Rf4 51. Rg2 Re3 52. Rg1 Rf3 53. Rf1 Rg4 54. Rg2 Rf4 55. Rg1 g2 56. Rxg2 1/2-1/2
I played it out to the end, it's a really hard drill (I did a few mistakes but corrected them)

You need to understand what is going on in the position. Study what are the plans for each side. What are the differences in the position (imbalances eg. Black has a passed h pawn and if White's king steps away too far he wont be able to catch it, Two vs one pawn, Black pawn is 4 moves away from queening, White king must watch out to be within Blacks Pawn square to prevent it from queening, etc) The more differences you see the better you understand the position.

In Chess.com's drill section there is the "King and Pawn Endgame: Opposition Master". The popup at the start of the drill reads "Can you really draw this endgame?! Yes, but only if you know the opposition like the back of your hand!" [Start Button]
Great! Now what? Iv'e done a number of these drills and they are usually self-explanatory. However, with this one in particular I'm at a loss. No pun intended. I assume I am trying to force a draw because of a deficit in material? The two previous drills in this series involved pushing my pawn to promotion by means of my King helping and leading the way.
I'm not sure if I need to do this again in this new scenario or attempt a draw. All I've been able to accomplish thus far in the drill is to have my King push the computer's King all around the board. Even when my King is very far away from the pawn island that is in the example, the computer's pawn never advances.
All in all I'm looking for help in determining what exactly the drill is teaching me AND what is the goal and how to reach it.
Here's the link directly to the drill in question: https://www.chess.com/drills/practice/king-and-pawn-endgame-opposition-master
Thanks in advance!
How I learned was experimenting with different strategies, so just try doing the drill a lot, and you'll get it.
In Chess.com's drill section there is the "King and Pawn Endgame: Opposition Master". The popup at the start of the drill reads "Can you really draw this endgame?! Yes, but only if you know the opposition like the back of your hand!" [Start Button]
Great! Now what? Iv'e done a number of these drills and they are usually self-explanatory. However, with this one in particular I'm at a loss. No pun intended. I assume I am trying to force a draw because of a deficit in material? The two previous drills in this series involved pushing my pawn to promotion by means of my King helping and leading the way.
I'm not sure if I need to do this again in this new scenario or attempt a draw. All I've been able to accomplish thus far in the drill is to have my King push the computer's King all around the board. Even when my King is very far away from the pawn island that is in the example, the computer's pawn never advances.
All in all I'm looking for help in determining what exactly the drill is teaching me AND what is the goal and how to reach it.
Here's the link directly to the drill in question: https://www.chess.com/drills/practice/king-and-pawn-endgame-opposition-master
Thanks in advance!