When the bottle of liquid water is placed in the tub filled with ice, heat will flow from the warmer water to the colder ice until thermal equilibrium is achieved. As a result, the temperature of the ice (which is initially at or near 0°C) may increase as it absorbs heat and starts to melt, while the temperature of the water will decrease as it loses heat to the ice.
Therefore, the best description of what happens to the temperature of each after 15 minutes is:
The temperature of the ice increases, while the temperature of the water decreases.