heat makes ice melt faster because if you put an ice cube on a pan ,turn on the oven, turn it to 50 degrees f ,the ice will melt and if you turn the oven to 212 degrees f the water will start to boil.
If you put both near a fire the aluminum cup with ice would melt faster because more light energy and thermal energy would reach it when a fome cup would just sit there and absorb the heat and give...
Salt with ice melts faster because of the chemicals inside it. If you don't believe it, try an experiment. Take out 2 ice cubes, then sprinkle one with salt. See which one melts faster.