The distance between Athos and Aramis, galloping down the same road, is 20 leagues. In one hour, Athos covers 4 leagues, and Aramis - 5 leagues.

What distance will be between them after an hour?

#
Notice, nothing is said about whether the musketeers are galloping in one or different directions.

## Solution

The musketeers could be riding:

a) in different directions, towards each other;

b) in different directions, moving away from each other;

c) in the same direction - Athos behind Aramis;

d) in the same direction - Aramis behind Athos.

Accordingly, the problem allows for four different answers. For example, in case a) the distance will decrease by 9 leagues in one hour and will be 11 leagues. The other answers can be found similarly.

## Answer

11, 29, 21, or 19 leagues.

Buratino and Piero were racing. Piero ran the entire distance at a constant speed, while Buratino ran the first half of the distance twice as fast as Piero, and the second half twice as slow as Piero. Who

won

## Hint

Notice that Buratino spent exactly as much time on the second half of the distance as Piero did on the entire distance.

## Solution

Buratino spent exactly as much time on the second half of the distance as Piero did on the entire distance. And yet, Buratino also spent some time on the first half of the distance. Therefore, Piero won.

## Answer

Piero.