This is absolutely confusing for me, so i made a little sheet of the amount of medallions you can get from daily races (not the first time awards), per map, per account.
Map
Bronze
Silver
Gold
Total medallions
Kessex Hills
1
1
1
3
Grothmar Valley
2
3
5
10
Diessa Plateau
2
3
5
10
Mount Maelstorm
2
3
5
10
Brisban Wildlands
2
3
5
10
Gendarran Fields
2
3
5
10
Snowden Drifts
2
3
5
10
Total medallions
13
19
31
63
*You can repeat a race any number of times you want, but you will get a reward once per day (per tier).**The number of tokens you get for completing the race for the first time might differ from the quantity in the sheet above.