Final answer:
To maximize free time, assign vacuuming to your roommates due to the minimal difference in speed and take on dishwashing yourself to exploit your higher speed. Address potential issues of fairness with a rotating schedule or cleaning rota. The situation mirrors the concept of comparative advantage in trade.
Step-by-step explanation:
To address the situation where you are faster at completing household tasks than your roommates, it's important to strategize the division of labor. Assign tasks to your roommates that are less time-consuming for them to maximize overall efficiency and free time for everyone. Vacuuming, where the difference in speed is only 10%, could be a task for your roommates, while you handle the dishes, capitalizing on your 70% faster speed.
However, this can create issues such as resentment among roommates, feeling of unfairness, and potential lack of responsibility from others. To mitigate these problems, consider implementing a rotating schedule or establishing a cleaning rota with evenly distributed chores.
A trade-related analogy that illustrates this divide in efficiency is the principle of comparative advantage in international trade, where countries are advised to specialize in the production of goods where they have a lower opportunity cost, and then trade with others to maximize overall economic benefit.