There are several possible reasons the device is starting with a low battery or has batteries that drain quickly.
Battery drains while not in use:
When the TYPE-R is in the dock (with dock charger), the power is off, and not connected to a power supply, the battery will drain from the dock charger. A fully charged device will lose all power in about 10 days. The TYPE-R's charged battery also depletes when not in use and not plugged in.
Try to keep the TYPE-R plugged in. Remove the dock charger from the dock when not in use/plugged in, else it will drain in a few days. Note that when the battery drains all the way, the system clock is reset, but should automatically fix the time when the device connects to GPS.