Question

Решите задачу. Пешеход и велосипедист отправились одновременно на встречу друг другу из двух пунктов , расстояние между которыми 24 км. Скорость пешехода 4 км/ ч , а велосипедиста 12 км/ ч. Какое расстояние проведет велосипедист до встречи с пешеходом???( по действиям )

Answer 1

4+12=16км/ч скорость сближения24:16=1 1/2ч будут в пути до встречи12*1 1/2=18км проедет велосипедист4*1 1/2=6км пройдет пешеход

Answer 2

Problem Analysis

We are given that a pedestrian and a cyclist start simultaneously from two different points, with a distance of 24 km between them. The pedestrian's speed is 4 km/h, and the cyclist's speed is 12 km/h. We need to find the distance the cyclist will travel before meeting the pedestrian.

Solution

To solve this problem, we can use the formula: Distance = Speed × Time.

Let's assume that the time taken for the cyclist and pedestrian to meet is t hours.

The distance traveled by the pedestrian can be calculated as 4t km, and the distance traveled by the cyclist can be calculated as 12t km.

Since the total distance between them is 24 km, we can set up the equation: 4t + 12t = 24.

Simplifying the equation, we get: 16t = 24.

Dividing both sides by 16, we find that t = 1.5.

Therefore, the cyclist will travel a distance of 12 × 1.5 = 18 km before meeting the pedestrian.

Answer

The cyclist will travel a distance of 18 km before meeting the pedestrian.

Explanation

When the pedestrian and cyclist start simultaneously, the pedestrian's speed is 4 km/h, and the cyclist's speed is 12 km/h. Since the pedestrian is slower, the cyclist will cover a greater distance before they meet. The distance traveled by the cyclist can be calculated using the formula Distance = Speed × Time. In this case, the time taken for them to meet is 1.5 hours, so the cyclist will travel a distance of 12 km/h × 1.5 h = 18 km before meeting the pedestrian