Question

Помогите решить задачу!! Пожалуйста! Одновременно от двух деревьев пролетели навстречу друг другу синица и воробей. Расстояние между деревьями 64 м. Скорость синицы 9 м/с, скорость воробья 7 м/с. Через какое время расстояние между ними станет 16м?

Answer 1

1) 9 + 7 = 16 м/с скорость сближения
2) 16 * 1 с = 16 метров, через секунду будет расстояние 16 м

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for the distance between the two birds to decrease from 64 meters to 16 meters. We are given the speeds of the birds and the initial distance between the trees.

Solution

Let's denote the time it takes for the distance between the birds to decrease to 16 meters as t.

We can set up the following equation to represent the situation: Distance = Speed × Time

For the blue tit (sinica), the distance it travels in time t is given by: Distance traveled by sinica = Speed of sinica × Time = 9t

For the sparrow (vorobey), the distance it travels in time t is given by: Distance traveled by vorobey = Speed of vorobey × Time = 7t

The initial distance between the birds is 64 meters. So, the equation becomes: Initial distance - Distance traveled by sinica - Distance traveled by vorobey = 64 - 9t - 7t = 64 - 16t

We want to find the time t when the distance between the birds becomes 16 meters. So, we can set up the equation: 64 - 16t = 16

Now, let's solve this equation to find the value of t.

Calculation

64 - 16t = 16

Rearranging the equation: 16t = 64 - 16 16t = 48

Dividing both sides by 16: t = 48 / 16 t = 3

Answer

The distance between the birds will become 16 meters after 3 seconds.

Please let me know if I can help you with anything else.