How does water boil with ice?

Answer 1

Not as good as without the ice and most likely the ice stopped the boilng until it melted and the heat applied brought the water again up to boiling tempertatures.

Now if you insist on getting the water to boil with ice, there is one other scenario where this can occur. Since, boiling in the strictest sense describes the process whereby a substance undergoes a change of state from liquid to gas. (This process is more appropriately termed evaporation). In order to get water to boil with ice inside of it, this means you have to effectively lower the temperature at which the water will boil. This can be achieved by lowering the surrounding air pressure. By decreasing air pressure you effectively decrease the amount of energy water molecules need to break the water surface tension to become water vapor. This is the reason why mountaineers at high altitudes cannot cook raw food in water.