Question

Когда велосипедист выехал из деревни на станцию пешеход уже находился на расстоянии 2км 400м от деревни на станцию они прибыли одновременно Через 15 минут после выезда велосипедиста С какой скоростью ехал велосипедист если скорость пешехода была 6 километров в час

Answer 1

2 км 400 м = 2,4 км
15 минут = 0,25 часа

1) 6 * 0,25 = 1,5 (км) - прошел пешеход за 15 минут
2) 2,4 + 1,5 = 3,9 (км) - расстояние от деревни до станции
3) 3,9 : 0,25 = 15,6 (км/ч) - скорость велосипедиста.

Ответ: 15,6 км/ч.

Answer 2

Problem Analysis

We are given that a cyclist started from a village towards a station, and a pedestrian was already at a distance of 2 km 400 m from the village towards the station. They both arrived at the station simultaneously. We are also given that the pedestrian's speed was 6 kilometers per hour. We need to find the speed of the cyclist.

Solution

Let's assume the speed of the cyclist is x kilometers per hour.

We can calculate the time taken by the cyclist and the pedestrian to reach the station using the formula:

Time = Distance / Speed

The distance covered by the cyclist is the total distance from the village to the station, which is the distance covered by the pedestrian plus the distance covered by the cyclist.

Let's calculate the distance covered by the pedestrian and the cyclist:

Distance covered by the pedestrian = 2 km 400 m = 2.4 km

Distance covered by the cyclist = Total distance - Distance covered by the pedestrian

Now, let's calculate the time taken by the cyclist and the pedestrian:

Time taken by the pedestrian = Distance covered by the pedestrian / Speed of the pedestrian

Time taken by the cyclist = Distance covered by the cyclist / Speed of the cyclist

Since the pedestrian and the cyclist arrived at the station simultaneously, their times taken should be equal:

Time taken by the pedestrian = Time taken by the cyclist

Using the above equation, we can solve for the speed of the cyclist.

Calculation

Let's calculate the speed of the cyclist using the given information:

Distance covered by the pedestrian = 2.4 km

Time taken by the pedestrian = 2.4 km / 6 km/h = 0.4 hours

Time taken by the cyclist = Distance covered by the cyclist / Speed of the cyclist

Since the pedestrian and the cyclist arrived at the station simultaneously, their times taken should be equal:

0.4 hours = Distance covered by the cyclist / Speed of the cyclist

Now, let's solve for the speed of the cyclist:

Speed of the cyclist = Distance covered by the cyclist / 0.4 hours

Answer

The speed of the cyclist can be calculated as follows:

Speed of the cyclist = Distance covered by the cyclist / 0.4 hours

Unfortunately, the distance covered by the cyclist is not provided in the given information. Without the distance covered by the cyclist, we cannot calculate the speed of the cyclist.