The statement "ice cubes melt faster in cold water than in boiled water" is not accurate. In fact, it's the other way around.
Ice cubes melt faster in hot or boiled water than in cold water. This phenomenon is due to the difference in temperature between the ice and the surrounding water.
The rate at which ice melts is determined by the temperature difference between the ice and its surroundings, according to Newton's law of cooling. When you place an ice cube in cold water, the temperature difference is smaller, and the rate of heat transfer is slower. On the other hand, when you place an ice cube in hot or boiled water, the temperature difference is larger, leading to a faster rate of heat transfer from the water to the ice cube.
Additionally, hot water contains more thermal energy than cold water, which means it can transfer heat more quickly to the ice. The heat from the hot water will be absorbed by the ice, causing it to melt faster.
It's worth noting that while hot water does melt ice faster, using hot water may not always be the best idea in certain situations. For example, if you want to cool a drink quickly, adding ice to hot water might raise the overall temperature of the drink before it has a chance to cool down. In such cases, using cold water would be more effective.