A beverage maker includes a reservoir; a heater for heating water in the reservoir from a starting temperature to a brewing temperature; a temperature sensor for sensing the temperature of the water and the heater; a pump connected to the reservoir for pumping hot water from the reservoir at the brewing temperature to a user's cup via an infusible food material; and a controller adapted to operate the pump over a predetermined pumping time based at least in part on the time interval to bring the water temperature in the reservoir from the starting temperature to the brewing temperature. The controller may also be programmed to turn said heater on, turn said pump on when the water temperatures reaches said brewing temperature, and turn said heater and pump off when said temperature sensor senses another temperature higher than said brewing temperature.