ерешин D.A.

Once, Rabbit was in a hurry to meet with Donkey Eeyore, but Winnie-the-Pooh and Piglet unexpectedly came to him. Being well-mannered, Rabbit offered his guests some refreshments. Pooh tied a napkin around Piglet's mouth and single-handedly ate 10 pots of honey and 22 cans of condensed milk, with each pot of honey taking him 2 minutes and each can of milk taking 1 minute. Upon learning that there was no more sweet food in the house, Pooh said goodbye and took Piglet away. Rabbit sadly thought that he wouldn't have been late for the meeting with the donkey if Pooh had shared with Piglet. Knowing that Piglet eats a pot of honey in 5 minutes and a can of milk in 3 minutes, Rabbit calculated the minimum time it would take for the guests to finish his supplies. What is this time? (A can of milk and a pot of honey can be divided into any parts.)

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Clearly, Pooh and Piglet must finish eating at the same time; otherwise, one of them can help the other, thereby reducing the total time spent eating. Pooh alone spent 42 minutes eating. By eating a pot of honey, Piglet reduces Pooh's time by 2 minutes but spends 5 minutes doing so himself. By eating two cans of milk, Piglet reduces Pooh's time by the same 2 minutes but spends 6 minutes doing so. Therefore, it is more advantageous for Piglet to eat honey (as long as it is available). By eating a pot of honey, Piglet reduces the difference between his time and Pooh's time by 7 minutes. Thus, by eating $42: 7$ = 6 pots, he will equalize the time: both he and Pooh will spend 30 minutes eating.

## Answer

30 minutes.