1. (7 points) Winnie-the-Pooh eats 3 cans of condensed milk and a jar of honey in 25 minutes, while Piglet takes 55 minutes. One can of condensed milk and 3 jars of honey, Pooh eats in 35 minutes, while Piglet takes 1 hour 25 minutes. How long will it take them to eat 6 cans of condensed milk together?
# Solution.

1st method. From the condition, it follows that Winnie-the-Pooh eats 4 cans of condensed milk and 4 jars of honey in 1 hour, while Piglet does so in 2 hours and 20 minutes. Therefore, one can of condensed milk and one jar of honey are eaten by Winnie-the-Pooh in 15 minutes, and by Piglet in 35 minutes.

Using the first condition, we get that 2 cans of condensed milk will be eaten by Winnie-the-Pooh in 10 minutes, and by Piglet in 20 minutes. Since Winnie-the-Pooh eats condensed milk twice as fast as Piglet, they will eat 6 cans of condensed milk in 20 minutes.

2nd method. Let Winnie-the-Pooh eat condensed milk at a speed of \( V_{1} \) cans per minute, and honey at a speed of \( V_{2} \) cans per minute. Then

\[
\left\{\begin{array}{l}
\frac{3}{V_{1}}+\frac{1}{V_{2}}=25, \\
\frac{1}{V_{1}}+\frac{3}{V_{2}}=35
\end{array} \Rightarrow V_{1}=\frac{1}{5}\right.
\]

Let Piglet eat condensed milk at a speed of \( U_{1} \) cans per minute, and honey at a speed of \( U_{2} \) cans per minute. Then

\[
\left\{\begin{array}{l}
\frac{3}{U_{1}}+\frac{1}{U_{2}}=55 \\
\frac{1}{U_{1}}+\frac{3}{U_{2}}=85
\end{array} \Rightarrow U_{1}=\frac{1}{10}\right.
\]

Thus, Winnie-the-Pooh and Piglet together will eat condensed milk at a speed of \( V_{1}+U_{1}=\frac{3}{10} \) cans per minute. Therefore, they will eat 6 cans of condensed milk in \( 6: \frac{3}{10}=20 \) minutes.

Answer. 20 minutes.