Question

2. Из двух точек А и В, расположенных на расстоянии 80 м друг от друга, одновременно начали движение два тела навстречу друг другу. Первое имело скорость 5 м/с, а второе – 3 м/с. Какой путь пройдет первое тело до встречи?

Answer 1

1) 80:(5+3)= 10секунд  -  время через которое они встретятся.
2) 5*10=50метров -  пройдёт первое тело до встречи.

Ответ:50 метров.

Answer 2

Problem Analysis

We are given two points, A and B, which are 80 meters apart. Two bodies start moving simultaneously towards each other from these points. The first body has a speed of 5 m/s, and the second body has a speed of 3 m/s. We need to find the distance traveled by the first body before they meet.

Solution

To find the distance traveled by the first body before they meet, we can use the formula:

Distance = Speed × Time

Let's assume that the time taken for the bodies to meet is 't'. Since they are moving towards each other, the sum of the distances traveled by both bodies will be equal to the distance between the points A and B.

Let's calculate the time taken for the bodies to meet:

Distance traveled by the first body = Speed of the first body × Time taken by the first body

Distance traveled by the second body = Speed of the second body × Time taken by the second body

Since the total distance traveled by both bodies is equal to the distance between points A and B, we can write the equation:

Distance traveled by the first body + Distance traveled by the second body = Distance between points A and B

Substituting the values, we get:

(Speed of the first body × Time taken by the first body) + (Speed of the second body × Time taken by the second body) = Distance between points A and B

Simplifying the equation, we get:

5t + 3t = 80

Solving for 't', we find:

8t = 80

t = 10 seconds

Now that we have the time taken for the bodies to meet, we can calculate the distance traveled by the first body:

Distance traveled by the first body = Speed of the first body × Time taken by the first body

Substituting the values, we get:

Distance traveled by the first body = 5 m/s × 10 s = 50 meters

Therefore, the first body will travel a distance of 50 meters before they meet.

Answer

The first body will travel a distance of 50 meters before they meet.