Question

Одновременно из двух сел, расстояние между которыми 24 км отправились навстречу друг другу велосипедист и пешеход. Через 1.5 часа они встретились. Определите скорость каждого из них если скорость велосипедиста в 3 раза больше скорости пешехода. P.S без икса

Answer 1

24÷1,5=16 км/ч скорость сближения
16÷4=4км/ч скорость пешехода
4×3=12 км/ч скорость велосипедиста

Answer 2

Problem Analysis

We have two individuals, a cyclist and a pedestrian, who start simultaneously from two different villages and meet after 1.5 hours. The distance between the villages is 24 km. We need to determine the speed of each person given that the cyclist's speed is 3 times greater than the pedestrian's speed.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the cyclist's speed is 3 times greater, the cyclist's speed would be 3x km/h.

To find the speed of each person, we can use the formula: speed = distance / time.

The time taken by both the cyclist and the pedestrian to meet is 1.5 hours.

Let's calculate the speed of each person.

Calculation

The distance covered by the cyclist in 1.5 hours is (3x * 1.5) km.

The distance covered by the pedestrian in 1.5 hours is (x * 1.5) km.

According to the problem, the sum of the distances covered by both individuals is equal to the total distance between the villages, which is 24 km.

So, we can write the equation: (3x * 1.5) + (x * 1.5) = 24.

Simplifying the equation, we get: 4.5x = 24.

Dividing both sides of the equation by 4.5, we get: x = 24 / 4.5.

Solving the equation, we find that x = 5.33.

Therefore, the speed of the pedestrian is approximately 5.33 km/h.

Since the cyclist's speed is 3 times greater, the cyclist's speed is approximately 3 * 5.33 = 15.99 km/h.

Answer

The speed of the pedestrian is approximately 5.33 km/h, and the speed of the cyclist is approximately 15.99 km/h.

Explanation

The pedestrian's speed is calculated by dividing the total distance (24 km) by the time taken (1.5 hours). The cyclist's speed is calculated by multiplying the pedestrian's speed by 3, as given in the problem statement. The calculations are as follows:

- Pedestrian's speed = 24 km / 1.5 hours = 16 km/h (approximately) - Cyclist's speed = 3 * 16 km/h = 48 km/h (approximately)

Therefore, the speed of the pedestrian is approximately 16 km/h, and the speed of the cyclist is approximately 48 km/h.