Think Tank The Bay Riddle Thread

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A grocer is walking down a road with a basket of eggs. As he is walking he meets someone who buys half of his eggs plus half an egg more. He walks a little further and meets another person who buys half of his eggs plus half an egg more. After proceeding further he meets another person who buys half of his eggs plus half an egg more. At this point he has sold all of his eggs, and he never broke an egg. How many eggs did the grocer have to start with?
 
A hen and a half lays an egg and a half in a day and a half. How many eggs does one hen lay in one day?

Solution
If 1.5 hens lay 1.5 eggs in 1.5 days, it must be that one hen would lay one egg in the same time period: 1.5 days. Now, if one hen lays one egg in 1.5 days, it means that one hen would lay only ⅔ of an egg in one day. So the answer is ⅔ of an egg.
 
Three movie stars, Brad P, Kevin B, and Christopher W, are filming a movie in the Amazon. They’re very famous and very high-maintenance, so their agents are always with them. One day, after filming a scene deep in the rainforest, the three actors and their agents decide to head back to home base by foot. Suddenly, they come to a large river.

On the riverbank, they find a small rowboat, but it’s only big enough to hold two of them at one time. The catch? None of the agents are comfortable leaving their movie star with any other agents if they’re not there as well. They don’t trust that the other agents won’t try to poach their star.

For example, Brad P's agent is okay if Brad P and Kevin B are alone in the boat or on one of the riverbanks, but definitely not okay if Kevin B's agent is also with them. So how can they all get across the river?
 

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