Question

Прошу помогите!!!!!!!!!!!!!! Из двух пунктов,расстояние между которыми 7км 500м,одновременно в одном направлении вышел пешеход со скоростью 6км/ч и выехал автобус. Определите скорость автобуса, если он догнал пешехода через 15 мин. Если не сложно с пояснениями)

Answer 1

Думаем: Автобус догонит эти 7,5 км за счет увеличения скорости
Переводим - 15 мин = 0,25 час и 7 км 500 м = 7,5 км
Решаем
(V1-V2) *t = S 
V1= S/t - V2 = 7,5/ 0,25 - 6 = 30 - 6 = 24 км/час
ОТВЕТ: Скорость автобуса 24 км/час. 

Answer 2

Problem Analysis

We are given that the distance between two points is 7 km 500 m. A pedestrian starts walking at a speed of 6 km/h in one direction, and at the same time, a bus starts moving towards the pedestrian. We need to determine the speed of the bus if it catches up to the pedestrian in 15 minutes.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume the speed of the bus is 'x' km/h.

The pedestrian walks for 15 minutes, which is equivalent to 15/60 = 0.25 hours.

The bus and the pedestrian are moving in the same direction, so the relative speed between them is the difference in their speeds.

The relative speed of the bus with respect to the pedestrian is (x - 6) km/h.

According to the problem, the distance between the two points is 7 km 500 m, which is equivalent to 7.5 km.

Using the formula mentioned above, we can write the equation:

7.5 = (x - 6) × 0.25

Now, we can solve this equation to find the value of 'x', which represents the speed of the bus.

Calculation

Let's solve the equation:

7.5 = (x - 6) × 0.25

Multiply both sides of the equation by 4 to eliminate the fraction:

30 = x - 6

Add 6 to both sides of the equation:

x = 30 + 6

x = 36

Answer

The speed of the bus is 36 km/h.

Explanation

The bus catches up to the pedestrian in 15 minutes, which means they cover the same distance in that time. By setting up the equation and solving it, we find that the speed of the bus is 36 km/h. This means that the bus is moving 30 km/h faster than the pedestrian, allowing it to catch up to the pedestrian in 15 minutes.