Question

Из пункта А в пункт Б выехал велосипедист со скоростью 23 км/ч. И одновременно с ним из пункта Б в пункт А выехал велосипедист со скоростью 19 км/ч. Когда первый приехал в пункт В, второму осталось проехать ещё 24 км. Каково расстояние между пунктами?

Answer 1

Х-расстояние между пунктами
1й проехал х км, а 2й- х-24 .
время одинаковое.
х/23=(х-24)/19
19х=23(х-24)
19х-23х=-552
-4х= -552
х=138
ответ: 138 км

Answer 2

Problem Analysis

We have two cyclists traveling from point A to point B. One cyclist is traveling at a speed of 23 km/h, while the other is traveling at a speed of 19 km/h. When the first cyclist arrives at point B, the second cyclist still has 24 km left to travel. We need to find the distance between points A and B.

Solution

Let's assume the distance between points A and B is x km.

The time taken by the first cyclist to travel from A to B is given by: time1 = distance1 / speed1

The time taken by the second cyclist to travel from B to A is given by: time2 = distance2 / speed2

We know that the first cyclist arrives at point B when the second cyclist still has 24 km left to travel. So, we can write the following equation: time1 = time2 + 24

Substituting the values, we get: (x / 23) = (x / 19) + 24

To solve this equation, we can cross-multiply and simplify: 19x = 23x + 24 * 19 * 23

Simplifying further: 23x - 19x = 24 * 19 * 23 4x = 24 * 19 * 23 x = (24 * 19 * 23) / 4

Now, let's calculate the value of x.

Calculation

Using the given values, we can calculate the distance between points A and B as follows:

x = (24 * 19 * 23) / 4

Calculating the value, we get: x = 1389

Therefore, the distance between points A and B is 1389 km.

Answer

The distance between points A and B is 1389 km.