Question

Кузнечик прыгает вдоль прямой вперёд на 80 см или назад на 50 см. может ли он менее чем за 7 прыжков удалится от начальной точки ровно на 1 м 70 см

Answer 1

В задаче не сказано, что он обязательно  должен двигаться вперед и потому попробуем назад: 50*50-80 =170.
Ответ: да, может, 5  прыжков назад и один вперед

Answer 2

Can a cricket move exactly 1 meter and 70 centimeters away from its starting point in less than 7 jumps?

To determine if a cricket can move exactly 1 meter and 70 centimeters away from its starting point in less than 7 jumps, we need to analyze the distances it can cover with each jump.

According to the information provided, the cricket can jump forward 80 centimeters or backward 50 centimeters. We want to know if it can reach a distance of 1 meter and 70 centimeters, which is equivalent to 170 centimeters.

Let's calculate the maximum distance the cricket can cover in 7 jumps:

- Forward jumps: 80 cm * 7 = 560 cm - Backward jumps: 50 cm * 7 = 350 cm

The total distance covered by the cricket in 7 jumps is 560 cm - 350 cm = 210 cm.

Since the total distance covered by the cricket in 7 jumps is less than the desired distance of 170 cm, it is not possible for the cricket to move exactly 1 meter and 70 centimeters away from its starting point in less than 7 jumps.

Therefore, the cricket cannot reach a distance of 1 meter and 70 centimeters away from its starting point in less than 7 jumps.

Let me know if there's anything else I can help you with!