1. Two oligarchs, Alejandro and Maximilian, looted their country in 2012. It is known that Alejandro's wealth at the end of 2012 equals twice Maximilian's wealth at the end of 2011. And Maximilian's wealth at the end of 2012 is less than Alejandro's wealth at the end of 2011. Which is greater: Maximilian's wealth or the national wealth of the country?
Answer: Maximilian's state is greater.

Solution: Consider the table where $z, x-$ are the states of Alejandro and Maximilian in 2011:

|  | 2011 | 2012 |
| :--- | :--- | :--- |
| $\mathrm{A}$ | $z$ | $2 x$ |
| $\mathrm{M}$ | $x$ | $y$ |

Then $N=(2 x+y)-(x+z)-$ are the national riches of the country. Subtracting $x$ from them, we get $N-x=y-z<0$, hence they are less than Maximilian's state. 2. In the Formula-2013 race, there are 2 drivers. The first driver completed 4 laps in the time it took the second driver to complete 3. Over the next three laps, due to fast driving, the first driver had to drive an additional 20 meters to the pit stop (without stopping). It is known that when the second driver completed 6 laps, the first driver completed 7.75 laps. Find the length of the lap. (The speeds of the drivers are constant.)

Answer: 80 meters.

Solution: If it were not for the pit stop, the first driver would have completed exactly 8 laps in the time it took the second driver to complete 6 laps. Therefore, the pit stop is exactly $\frac{1}{4}$ of a lap. Then the entire lap is 80 meters.