Question

Из двух пунктов, расстояние между которыми 7км 500м, одновременно в одном направление вышел пешеход со скоростью 6 км/ч и выехал автобус. определите скорость автобуса, если он догнал пешехода через 15 минут. ПОМОГИТЕ решить с объяснениями.

Answer 1

15мин это 1/4 часа ,час = 60 мин
1)7км500м=7,5 км
1/4 часа это 15мин=0,25ч
0,25х=6*0,25+7,5
0,25х=9х=9/0
25х=36км/ч - скорость автобуса

Answer 2

Problem Analysis

We are given two points that are 7 km 500 m apart. A pedestrian starts walking from one point at a speed of 6 km/h, while a bus starts driving 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 distance covered by the pedestrian is given by: distance = speed × time. Substituting the values, we get: 7.5 km = 6 km/h × 0.25 h.

Now, let's find the distance covered by the bus in 0.25 hours. The distance covered by the bus is also given by: distance = speed × time. Substituting the values, we get: 7.5 km = x km/h × 0.25 h.

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 km = x km/h × 0.25 h to find the speed of the bus.

7.5 km = x km/h × 0.25 h

To solve for x, we can divide both sides of the equation by 0.25:

7.5 km / 0.25 h = x km/h

x = 30 km/h

Answer

Therefore, the speed of the bus is 30 km/h.

Explanation

The pedestrian walks at a constant speed of 6 km/h for 15 minutes, covering a distance of 1.5 km. The bus, traveling at an unknown speed, covers the same distance of 1.5 km in the same amount of time. By setting up and solving the equation, we find that the speed of the bus is 30 km/h, allowing it to catch up to the pedestrian in 15 minutes.