13.332. Three boys $A, E$ and $B$ agreed that during their joint boat trip, each would take turns being the captain, with the duration of each boy's captaincy being proportional to the number of points he earns by participating in a geography quiz. In the end, $A$ scored 3 points more than $B; E$ and $B$ together scored 15 points. The number representing $1 / 10$ of the total travel time (in hours) is 25 more than the number of points scored by the boys. How long were $A$ and $B$ captains, if $B$ performed this duty for 160 hours?
Solution.

Let $x, 18-x, x-3$ be the points received by boys $A, B$ and $B$ respectively, and $k$ be the proportionality coefficient. According to the condition, we have

the system $\left\{\begin{array}{l}\frac{1}{10} k(x+18-x+x-3)=x+18-x+x-3+25, \\ k \cdot(18-x)=160,\end{array}\right.$

from which $x=10, k=20$. Then $k x=200, k(x-3)=140$.

Answer: 200 and 140 points.