3. Dima and Vova were solving a math olympiad consisting of two problems: one in geometry and the other in algebra. Dima solved the algebra problem twice as fast as Vova, while he took twice as long to solve the geometry problem compared to Vova, but still finished the olympiad earlier. Who spent more time: Dima on the algebra problem, or Vova on the geometry problem?
Answer: Dima spent more time solving an algebra problem than Vova spent on a geometry problem.

## Solution:

Let $D$ be the time Dima spent solving the algebra problem, and $V$ be the time Vova spent solving the geometry problem.

According to the condition, $D + 2V < 2D + V$.

From this, $V < D$.

## Instructions for Checking:

Give 1 point for an answer without justification.