It varies depeding upon ability. Some 1500 players will NEVER reach 2000. Others may reach it within a year.
how long will it take a 1500 player to reach 2000

Let's do some math to find out:
Assuming you study 2 hours a day with a high quality study it should take a little while to complete and thoroughly understand these resources:
1.Simple Defense by Convekta (well below your level, but even 1500s carelessly lose pieces to a three move combination, overlook critical threats at the end of their forcing variations, or quiescance errors which is stopping calculation before it's quiet).
2.CT-ART Beginner (first 15 minutes, don't let the name throw you off you'll complete it in no time but get those patterns reinforced!)
3.CT-ART 4.0 (both come with 5.0, this is for working you calculation and recalling patterns from the first one)
4.My System (1 month through 6 weeks)
5.Nunn's Understanding Chess Endgames (1 month)
6.Endgame Tactics (green cover edition, at least two months)
7.Soltis' Pawn Structure Chess (3-5 weeks)
8.Shereshevsky's Endgame Strategy (1 month)
9.Dynamic Pawn Play in Chess (5 weeks)
10.New Art of Defence in Chess (3-4 weeks)
11.Minev's Practical Rook Endings.
12.School of Future Champions 4 and 5 (3 months)
13.Dvoretsky's Endgame Manual (6 weeks)
14.School of Chess Excellence 1,2, and 3 (4-5 months)
So around 72 weeks + however long it'll take to finish Practical Rook Endings. You might want to add Advanced Defense to practice in place of CT-ART 4 on occasion. Not only is trying to win important but so is trying to avoid losing. You'll actually need to allocate some time towards the studying of your own and classic games. Set some time aside for Alekhine's Best Games, St.Petersburg 1909, New York 1924, and Zurich 1953. Still around 72 weeks but with 1 game a day from either of these books (not counting hours studied only days).

I am 1500 and i was just wondering how long it would take me
4 Years, 2 months, 16 days, 7 hours, 22 minutes, and 8 seconds.
Regards,
Lou
2000 online is achieveable with study of basic tactics and some positional understanding. 2000 otb is harder and requires alot more work if you are at 1500. Not sure if you mean 2000 uscf or 2000 with online chess. In my opinion online chess is much easier than otb. Either way I think if you study tactics for the openings you play and some typical middle and endgames for the openings you play you will do fine. Depending on how dedicated you are maybe a couple years, but as someone else said some 1500s never make 2000. I know a guy who has been like 1400 otb for 20 + years. Enjoy the roller coaster ride.
It's up to you how long it takes you. Come up with a good study plan and you could reach 2000 in less than a year maybe depending on your skill. I joined here little over a year ago got DESTROYED my first few games because I hadn't played in about 10 years my rating went down to around 800 so I started studying religiously and I'm currently 1877 if I can gain 1000 points in just over a year I'm sure you can gain 500 in that time or less if you try.
It varies depeding upon ability. Some 1500 players will NEVER reach 2000. Others may reach it within a year.
Very smart commentary. :-D
OTB - more stress, therefore, real skill distortion. And yes, OTB - more severe competition; strong players prefer to earn money on chess rather than just to play online for fun.
Let's do some math to find out:
Assuming you study 2 hours a day with a high quality study it should take a little while to complete and thoroughly understand these resources:
1.Simple Defense by Convekta (well below your level, but even 1500s carelessly lose pieces to a three move combination, overlook critical threats at the end of their forcing variations, or quiescance errors which is stopping calculation before it's quiet).
2.CT-ART Beginner (first 15 minutes, don't let the name throw you off you'll complete it in no time but get those patterns reinforced!)
3.CT-ART 4.0 (both come with 5.0, this is for working you calculation and recalling patterns from the first one)
4.My System (1 month through 6 weeks)
5.Nunn's Understanding Chess Endgames (1 month)
6.Endgame Tactics (green cover edition, at least two months)
7.Soltis' Pawn Structure Chess (3-5 weeks)
8.Shereshevsky's Endgame Strategy (1 month)
9.Dynamic Pawn Play in Chess (5 weeks)
10.New Art of Defence in Chess (3-4 weeks)
11.Minev's Practical Rook Endings.
12.School of Future Champions 4 and 5 (3 months)
13.Dvoretsky's Endgame Manual (6 weeks)
14.School of Chess Excellence 1,2, and 3 (4-5 months)
So around 72 weeks + however long it'll take to finish Practical Rook Endings. You might want to add Advanced Defense to practice in place of CT-ART 4 on occasion. Not only is trying to win important but so is trying to avoid losing. You'll actually need to allocate some time towards the studying of your own and classic games. Set some time aside for Alekhine's Best Games, St.Petersburg 1909, New York 1924, and Zurich 1953. Still around 72 weeks but with 1 game a day from either of these books (not counting hours studied only days).
Well said! Only thing I would add to it is maybe chessbase and some chessbase videos. They seem helpful, but with all the free videos out now, this might not even be needed.

Let's do some math to find out:
Assuming you study 2 hours a day with a high quality study it should take a little while to complete and thoroughly understand these resources:
1.Simple Defense by Convekta (well below your level, but even 1500s carelessly lose pieces to a three move combination, overlook critical threats at the end of their forcing variations, or quiescance errors which is stopping calculation before it's quiet).
2.CT-ART Beginner (first 15 minutes, don't let the name throw you off you'll complete it in no time but get those patterns reinforced!)
3.CT-ART 4.0 (both come with 5.0, this is for working you calculation and recalling patterns from the first one)
4.My System (1 month through 6 weeks)
5.Nunn's Understanding Chess Endgames (1 month)
6.Endgame Tactics (green cover edition, at least two months)
7.Soltis' Pawn Structure Chess (3-5 weeks)
8.Shereshevsky's Endgame Strategy (1 month)
9.Dynamic Pawn Play in Chess (5 weeks)
10.New Art of Defence in Chess (3-4 weeks)
11.Minev's Practical Rook Endings.
12.School of Future Champions 4 and 5 (3 months)
13.Dvoretsky's Endgame Manual (6 weeks)
14.School of Chess Excellence 1,2, and 3 (4-5 months)
So around 72 weeks + however long it'll take to finish Practical Rook Endings. You might want to add Advanced Defense to practice in place of CT-ART 4 on occasion. Not only is trying to win important but so is trying to avoid losing. You'll actually need to allocate some time towards the studying of your own and classic games. Set some time aside for Alekhine's Best Games, St.Petersburg 1909, New York 1924, and Zurich 1953. Still around 72 weeks but with 1 game a day from either of these books (not counting hours studied only days).
Well said! Only thing I would add to it is maybe chessbase and some chessbase videos. They seem helpful, but with all the free videos out now, this might not even be needed.
Yeah chessbase India is a wonderful youtube channel to learn chess. Just watch their videos and chill
I am 1500 and i was just wondering how long it would take me