Question

Из двух пунктов навстречу друг другу одновременно отправились пешеход и велосипедист.К моменту встречи пройденные ими расстояния относились 1:4. Определи расстояние между пунктами, если известно, что до встречи велосипедист проехал на 21,6 км больше, чем прошел пешеход.Одна часть составляет:? км.Пять частей или расстояние между пунктами равны:? км.Ответить!

Answer 1

1+4=5(частей)-весь путь4-1=3 части на столько частей путь велосипедиста больше, чем путь пешехода, но в измерениях эти 3 части=21,3км21,6:3=7,2(км)-это одна часть7,2*5=36(км)-весь путь 

Answer 2

Problem Analysis

We are given that a pedestrian and a cyclist start simultaneously from two points and meet after traveling distances in a 1:4 ratio. We also know that the cyclist traveled 21.6 km more than the pedestrian before they met. We need to determine the distance between the two points.

Solution

Let's assume that the distance traveled by the pedestrian is x km. According to the given information, the distance traveled by the cyclist is x + 21.6 km.

Since the ratio of the distances traveled by the pedestrian and the cyclist is 1:4, we can set up the following equation:

x / (x + 21.6) = 1 / 4

To solve this equation, we can cross-multiply:

4x = x + 21.6

Simplifying the equation:

4x - x = 21.6

3x = 21.6

Dividing both sides by 3:

x = 7.2

Therefore, the distance traveled by the pedestrian is 7.2 km, and the distance traveled by the cyclist is 7.2 + 21.6 = 28.8 km.

The total distance between the two points is the sum of the distances traveled by the pedestrian and the cyclist:

Total distance = 7.2 km + 28.8 km = 36 km

So, the distance between the two points is 36 km.

Answer

The distance between the two points is 36 km.