Assuming we ignore the resistance, with a 100W output at a default voltage of 12V, the constant current should be 100/12, which is 8.3A; for 15W, the current would be 15/12 = 1.25A. Theoretically, a 20AH battery could last approximately two hours; however, I believe that SSB doesn't have constant output power. The output power increases as your voice gets louder and decreases when your voice is quieter. Therefore, a normal 20AH battery should last for 3-4 hours without any problems.
The above content... well... I'm not sure if it's accurate... but it probably makes sense.