Question

Из пункта A выезжает велосипедист со скоростью 18 км/ ч. Одновременно с ним из пункта В находящегося на расстоянии 900м от пункта А выходит в том же направлении пешеход со скоростью 9 км/ч . Через какое время велосипедист догонит пешехода ? Какое расстояние пройдет за это время пешеход?

Answer 1

Вот ответ к заданию! Удачи!

Answer 2

Problem Analysis

We are given the following information: - A cyclist leaves point A with a speed of 18 km/h. - At the same time, a pedestrian leaves point B, which is 900m away from point A, in the same direction as the cyclist, with a speed of 9 km/h.

We need to determine: 1. The time it takes for the cyclist to catch up to the pedestrian. 2. The distance the pedestrian travels during that time.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the cyclist to catch up to the pedestrian.

Calculation

The distance between the cyclist and the pedestrian is 900m. Since the cyclist is moving faster than the pedestrian, they will eventually catch up.

Let's calculate the time it takes for the cyclist to cover this distance.

The speed of the cyclist is 18 km/h, which is equivalent to 18,000 m/60 min = 300 m/min.

Using the formula time = distance / speed, we can calculate the time it takes for the cyclist to cover the distance of 900m:

time = 900m / 300 m/min = 3 min

Therefore, it will take the cyclist 3 minutes to catch up to the pedestrian.

Now, let's calculate the distance the pedestrian travels during this time.

The speed of the pedestrian is 9 km/h, which is equivalent to 9,000 m/60 min = 150 m/min.

Using the formula distance = speed * time, we can calculate the distance the pedestrian travels in 3 minutes:

distance = 150 m/min * 3 min = 450 m

Therefore, the pedestrian will travel a distance of 450 meters during the time it takes for the cyclist to catch up.

Answer

The cyclist will catch up to the pedestrian in 3 minutes. During this time, the pedestrian will travel a distance of 450 meters.

Please let me know if anything is unclear or if you need further assistance!