8.1. Two mountain goats, Gennady and Nikolai, arranged a competition. Gennady makes two jumps of 6 meters each in the same time it takes Nikolai to make 3 jumps of 4 meters each. The goats agreed to jump along a straight line, not to turn around until they have traveled at least 2 kilometers, and then return. Who will complete this path faster?
Answer: Nikolai.

Solution: Both goats cover 12 meters in the same amount of time, but one makes jumps of 6 meters, while the other makes jumps of 4 meters. They need to jump at least 2000 meters in one direction. Nikolai can jump exactly 2000 meters, but Gennady cannot (2000 is not divisible by 6), so he will have to jump at least 2004 meters in one direction. Since the goats have the same speed, but Gennady's distance is longer, Nikolai will win.

Criterion: only answer - 0 points.