A heat exchanger is used to transfer heat from a hot fluid to a cold fluid. The hot fluid enters the heat exchanger at a temperature of 80C and a mass flow rate of 0.5 kg/s. The cold fluid enters the heat exchanger at a temperature of 20C and a mass flow rate of 1 kg/s. The heat exchanger is designed to transfer a maximum of 400 kJ/s of heat to the cold fluid. Determine the outlet temperatures of the hot and cold fluids.