Take two styrofoam cups, partially fill them with equal

Question
Question:

Take two styrofoam cups, partially fill them with equal amounts of cold tap water, and drop equal amounts of ice into each cup (not too much) to obtain identical mixtures of ice and water. Set one of the cups aside and observe it every 5-10 minutes or so until all the ice has melted; note the time it has taken the ice to melt. In the meantime, stir the water and ice in the second cup vigorously with a nonmetal stirrer (e.g., a pencil, a plastic stick, etc.) and note the time it takes for this ice to melt.

How do the times compare?

For each cup, explain where the energy came from to melt the ice.

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