
Помогите пожалуйста!!!Когда велосипедист выехал из деревни на станцию пешеход уже находился на
расстояние 2км 400м от деревни. На станцию они прибыли одновременно через 15 мин после выезда велосипедиста. С какой скоростью ехал велосипедист, если скорость пешехода была 6км/ч?

Ответы на вопрос




Problem Analysis
We are given that a cyclist left a village for a train station, and a pedestrian was already 2 km 400 m away from the village. They both arrived at the train station simultaneously, with the pedestrian's speed being 6 km/h. We need to find the speed of the cyclist.Solution
Let's assume the speed of the cyclist is v km/h. We can use the formula distance = speed × time to solve this problem.The pedestrian's speed is given as 6 km/h, and the time taken by both the cyclist and the pedestrian to reach the train station is 15 minutes (or 0.25 hours) apart.
Let's calculate the distance traveled by the cyclist and the pedestrian separately.
The distance traveled by the cyclist is the total distance from the village to the train station, which is the distance covered by the pedestrian plus the additional distance covered by the cyclist.
The distance traveled by the pedestrian is 2 km 400 m, which is equal to 2.4 km.
Let's calculate the distance traveled by the cyclist:
distance_cyclist = distance_pedestrian + additional_distance_cyclist
distance_cyclist = 2.4 km + additional_distance_cyclist
Now, let's calculate the additional distance covered by the cyclist:
additional_distance_cyclist = speed_cyclist × time_difference
additional_distance_cyclist = v km/h × 0.25 h
Substituting the value of additional_distance_cyclist in the previous equation:
distance_cyclist = 2.4 km + v km/h × 0.25 h
Since the cyclist and the pedestrian arrived at the train station simultaneously, their distances traveled are equal:
distance_cyclist = distance_pedestrian
Substituting the values:
2.4 km + v km/h × 0.25 h = 2.4 km
Now, let's solve this equation for v:
v km/h × 0.25 h = 0 km
v km/h = 0 km / 0.25 h
v km/h = 0 km/h
Therefore, the speed of the cyclist is 0 km/h.
Answer
The cyclist was traveling at a speed of 0 km/h.

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