1. Two boys, Petya and Vasya, are walking from the same house to the same school at the same time. Petya's step is $25\%$ shorter than Vasya's, but in the same amount of time, he manages to take $25\%$ more steps than Vasya. Who will arrive at the school first?
# Solution

Let's take Vasya's step as 1, then Petya's step is 0.75. For every 100 steps Vasya takes, Petya takes 125 steps. After 100 steps, Vasya will have walked a distance of 100, while Petya will have walked $0.75 * 125 = 75$ in the same time. Therefore, Vasya will arrive faster.

## Grading Criteria

Correct answer obtained without justification - 1 point.

Correct answer obtained with justification - 7 points.