Question

Велосипедист и пешеход начали двигаться одновременно навстречу друг другу из двух деревень, расстояние между которыми 30 км. Скорость велосипедиста на 3 км/ч больше скорости пешехода. Какова скорость каждого учасника движения. Если их встреча произошла через 2 часа.

Answer 1

Пусть скорость пешехода X тогда велосипедиста (3+X)
(X+X+3)*2=30
(2X+3)*2+30
4X+6=30
X=30-6/4
X=6км/ч
скорость пешехода 6км в ч ,а велосипедиста 9 км в ч

Answer 2

Обозначаем скорость пешехода Вп.
Тогда  Вв=Вп+3 - скорость велосипедиста.
Пишем уравнение пути
S= (Вв+Вп)*3 час = 30 км
Отсюда 
Вв+Вп = 10 км/час
Подставляем Вв
2*Вп=10-3 = 7
Вп = 3,5 км/час.
Вв = 3,5+3= 6,5км.час

Answer 3

Problem Analysis

We are given that a cyclist and a pedestrian start moving towards each other simultaneously from two villages that are 30 km apart. The cyclist's speed is 3 km/h faster than the pedestrian's speed. We need to find the speed of each participant if they meet after 2 hours.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the cyclist's speed is 3 km/h faster, the cyclist's speed will be x + 3 km/h.

To find the distance traveled by each participant, we can use the formula:

Distance = Speed × Time

For the pedestrian: Distance = Speed × Time = x km/h × 2 h = 2x km

For the cyclist: Distance = Speed × Time = (x + 3) km/h × 2 h = 2(x + 3) km

Since they are moving towards each other, the sum of their distances should be equal to the total distance between the villages, which is 30 km:

2x km + 2(x + 3) km = 30 km

Simplifying the equation:

2x + 2(x + 3) = 30

2x + 2x + 6 = 30

4x + 6 = 30

4x = 24

x = 6

The speed of the pedestrian is 6 km/h.

The speed of the cyclist is 6 + 3 = 9 km/h.

Therefore, the pedestrian's speed is 6 km/h and the cyclist's speed is 9 km/h.

Answer

The speed of the pedestrian is 6 km/h and the speed of the cyclist is 9 km/h.