Question

СДЕЛАТЬ ЧЕРТЁЖ К ЗАДАЧИ!!! по лесной тропинке навстречу друг другу одновременно выбежали два ёжика.скорость одного67м/мин,а скорость другого на 6м/мин больше.через какое время ёжики встретятся,если вначале между ними было560м?

Answer 1

См. фотографию ьам чкртеж

Answer 2

Problem Statement:

We have two hedgehogs running towards each other on a forest path. The speed of one hedgehog is 67 m/min, while the speed of the other hedgehog is 6 m/min faster. The initial distance between them is 560 m. We need to determine how long it will take for the hedgehogs to meet.

Solution:

To solve this problem, we can use the formula: time = distance / speed.

Let's assume that the speed of the first hedgehog is x m/min. Since the speed of the second hedgehog is 6 m/min faster, its speed will be (x + 6) m/min.

The first hedgehog will cover a distance of x * t meters in time t minutes, and the second hedgehog will cover a distance of (x + 6) * t meters in the same time.

Since they are running towards each other, the sum of the distances covered by both hedgehogs should be equal to the initial distance between them, which is 560 m.

Therefore, we can set up the equation: x * t + (x + 6) * t = 560.

Simplifying the equation, we get: 2x * t + 6 * t = 560.

Combining like terms, we have: (2x + 6) * t = 560.

To find the value of t, we need to solve this equation for t. Let's do that:

(2x + 6) * t = 560

Dividing both sides of the equation by (2x + 6), we get:

t = 560 / (2x + 6).

Now, we can substitute the value of x into the equation to find the value of t.

From the given information, we know that the speed of one hedgehog is 67 m/min. Therefore, x = 67.

Substituting x = 67 into the equation, we get:

t = 560 / (2 * 67 + 6).

Simplifying further, we have:

t = 560 / (134 + 6) = 560 / 140 = 4.

Therefore, it will take 4 minutes for the hedgehogs to meet.

Answer:

The hedgehogs will meet after 4 minutes.