Question

Срочно Надо!!! У дорожки стоит столб. Улитки Фрося, Муся и Кузя одновременно поползли от основания столба с постоянными скоростями. Фрося --- направо по дорожке, Муся --- налево по дорожке, а Кузя --- вверх по столбу. Скорость улитки Кузи на 2 см в минуту меньше скорости улитки Фроси, а скорость улитки Муси вдвое больше скорости улитки Кузи. Через час между Мусей и Фросей было 6 м 60 см. На какую высоту за этот час заполз Кузя? Ответ выразите в сантиметрах.

Answer 1

Ответ:

180 см

Пошаговое объяснение:

VКузи - x

VФроси - x+2

VМуси - 2x

660 : 60 = 11 (V) - их общая скорость

2x + x+2 = 11

3x = 9

x = 3

60 * 3 = 180

Answer 2

Problem Analysis

We are given that three snails, Frose, Musya, and Kuzia, start crawling simultaneously from the base of a pole. Frose crawls to the right along a track, Musya crawls to the left along the same track, and Kuzia crawls upward along the pole. We are also given that Kuzia's speed is 2 cm per minute slower than Frose's speed, and Musya's speed is twice as fast as Kuzia's speed. After one hour, there is a distance of 6 m 60 cm between Musya and Frose. We need to determine how high Kuzia crawled in this hour.

Solution

Let's assume that Frose's speed is x cm per minute. Then Kuzia's speed would be x - 2 cm per minute, and Musya's speed would be 2(x - 2) cm per minute.

We know that the distance between Musya and Frose after one hour is 6 m 60 cm, which is equal to 660 cm. We can set up the following equation to represent this:

660 = 2(x - 2) * 60 [[1]]

Simplifying the equation, we have:

660 = 120(x - 2)

Now, let's solve this equation to find the value of x.

660 = 120x - 240

Adding 240 to both sides:

900 = 120x

Dividing both sides by 120:

x = 7.5

Therefore, Frose's speed is 7.5 cm per minute.

Now, we can find Kuzia's speed by subtracting 2 cm from Frose's speed:

Kuzia's speed = 7.5 - 2 = 5.5 cm per minute

Since Kuzia's speed is 5.5 cm per minute, we can calculate the height Kuzia crawled in one hour:

Height crawled by Kuzia = Kuzia's speed * time = 5.5 * 60 = 330 cm

Therefore, Kuzia crawled to a height of 330 cm in one hour.

Answer

Kuzia crawled to a height of 330 cm in one hour.