Took a 2 hour trip and 1 hour and 30 minutes in my car beeps and says alternator workshop and battery light comes on. I drove rest of way picked my mom up and went to wal mart and battery light was still on but no problems. Took her home and headed back home and a little over and hour later my car cuts off and I coast to the break down lane. A state trooper jumps me off (hooked jumpers up his car running not mine) bout 10 minutes later started my car and drove another hour before it shuts off again. I get another jump and drive 20 minutes home. The next morning I started car and drove to store battery light still on and alternator workshop pops back up. Made it home no problem. Lights work but window and wiper blades slow. Is battery bad ? iOS it holding charge that long? Alternator?