You should read about MediaPlayer, in particular about seekTo(int time).
seekTo receives time in milliseconds so for your case you should do as follows:
private static final int MILLISECONDS_IN_SECOND = 1000;
private static final int TIME_IN_SECONDS = 60;
...
mPlayer.seekTo(TIME_IN_SECONDS * MILLISECONDS_IN_SECOND);
mPlayer.start();
whereas mPlayer is your MediaPlayer.