Question

Из двух точек A и В , расположенных на расстоянии 80 м друг от друга , одновременно начали движение два тела навстречу друг другу. Первое тело имело скорость 5 м/с , а второе 3 м/с. через сколько времени они встречатятся? Какой путь пройдёт первое тело до встречи?(10с ;50 м)

Answer 1

80:(5+3)=10секунл - через столько они встретятся.
5*10=50 метров пройдёт первое тело до встречи.
Ответ:10 секунд,50 метров.

Answer 2

Problem Analysis

We have two points, A and B, located 80 meters apart. Two bodies start moving simultaneously from points A and B towards each other. 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 out how long it will take for them to meet and the distance traveled by the first body until they meet.

Solution

To find the time it takes for the two bodies to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of the speeds of the two bodies since they are moving towards each other.

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

Distance = Speed * Time

Let's calculate the time and distance.

Calculation

The distance between points A and B is 80 meters.

The speed of the first body is 5 m/s, and the speed of the second body is 3 m/s.

To find the time it takes for them to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of the speeds of the two bodies:

Relative Speed = 5 m/s + 3 m/s = 8 m/s

Substituting the values into the formula:

Time = 80 m / 8 m/s = 10 seconds

Therefore, it will take 10 seconds for the two bodies to meet.

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

Distance = Speed * Time

Substituting the values into the formula:

Distance = 5 m/s * 10 s = 50 meters

Therefore, the first body will travel 50 meters until they meet.

Answer

The two bodies will meet after 10 seconds, and the first body will travel a distance of 50 meters until they meet.