Question

Скорость велосипедиста в 5 раз больше скорости пешехода. однажды они одновременно отправились друг другу на встречу из пунктов, расстояние между которыми 30 км. Какой путь проедет велосипедист до встрече с пешеходом.

Answer 1

1)30/2=15(км)
2)15+5=20(км)
Велосипедист проедет до встречи с пешеходом 20км.
получается..что пешеход пройдет 10км.....

Answer 2

Problem Analysis

We are given that the speed of the cyclist is 5 times greater than the speed of the pedestrian. They start simultaneously from two points that are 30 km apart. We need to determine the distance the cyclist will travel before meeting the pedestrian.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the speed of the cyclist is 5 times greater, the speed of the cyclist is 5x km/h.

To find the distance the cyclist will travel before meeting the pedestrian, we need to determine the time it takes for them to meet. We can use the formula:

time = distance / speed

Let's denote the distance traveled by the cyclist as d km. The distance traveled by the pedestrian is then 30 - d km.

The time it takes for the cyclist to travel distance d is given by:

time_cyclist = d / (5x)

The time it takes for the pedestrian to travel distance 30 - d is given by:

time_pedestrian = (30 - d) / x

Since they start simultaneously, the time it takes for both of them to meet is the same. Therefore, we can set up the equation:

d / (5x) = (30 - d) / x

To solve for d, we can cross-multiply and simplify the equation:

d * x = (30 - d) * (5x)

dx = 150x - 5dx

6dx = 150x

d = 25

Therefore, the cyclist will travel 25 km before meeting the pedestrian.

Answer

The cyclist will travel 25 km before meeting the pedestrian.