1. An explorer undertakes to cross a desert with the help of porters. The length of the trail corresponds to 6 days walk. But the explorer, like each porter, can carry only 4 days food. How many porters does the explorer need? In fact, can he cross at all?
2. A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
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