Question

Две черепахи одновременно поползли навстречу друг другу. Расстояние между ними было 456 м. Скорость одной -12 м/мин, другой - 7 м/мин. Через сколько минут между черепахами будет 114 м? Через сколько минут они встретятся?

Answer 1

1)456-114=342(м) расстояние
2)12+7=19(м/мин) скорость 2 черепах
3)342:19=18(мин) между черепахами будет 114м
4)456:19=24(мин)
Ответ: через 18 минут между черепахами будет 114м и через 24 мин встретятся черепахи

Answer 2

Problem Analysis

We are given two turtles that are crawling towards each other. The initial distance between them is 456 meters. The first turtle crawls at a speed of 12 meters per minute, while the second turtle crawls at a speed of 7 meters per minute. We need to determine how many minutes it will take for the distance between the turtles to be reduced to 114 meters, and when they will meet.

Solution

To find the time it takes for the distance between the turtles to be reduced to 114 meters, we can set up the following equation:

Distance = Speed * Time

Let's denote the time it takes for the distance to be reduced to 114 meters as 't' minutes. The distance covered by the first turtle in 't' minutes is 12t, and the distance covered by the second turtle in 't' minutes is 7t. The equation can be written as:

456 - (12t + 7t) = 114

Now we can solve this equation to find the value of 't'.

Calculation

456 - (12t + 7t) = 114

456 - 19t = 114

342 = 19t

t = 342 / 19

t ≈ 18 minutes

Therefore, it will take approximately 18 minutes for the distance between the turtles to be reduced to 114 meters.

To find when they will meet, we can substitute the value of 't' into either turtle's distance equation. Let's use the first turtle's equation:

Distance = Speed * Time

Distance = 12 * 18

Distance ≈ 216 meters

Therefore, the turtles will meet after approximately 18 minutes, when they are approximately 216 meters away from their starting positions.

Answer

It will take approximately 18 minutes for the distance between the turtles to be reduced to 114 meters. The turtles will meet after approximately 18 minutes, when they are approximately 216 meters away from their starting positions.