Question

Турист вышел из пункта А в пункт В со скоростью 5 км/ч. Навстречу ему, в то же время, выехал велосипедист со скоростью 12 км/ч. Через два часа пути растояние между ними составляло треть всего расстояния между А и В. Найдите длину участка АВ (в км).

Answer 1

1) 5 × 2=10 км прошел турист
2)12×2=24км проехал велосипедист
3)24+10=34 км всего турист и велосипедист прохли
4)34×3=112км длинаучастка
Ответ 112 км

Answer 2

Problem Analysis

We are given that a tourist is traveling from point A to point B at a speed of 5 km/h, and at the same time, a cyclist starts traveling from point B to point A at a speed of 12 km/h. After two hours of travel, the distance between them is one-third of the total distance between points A and B. We need to find the length of the segment AB in kilometers.

Solution

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

After two hours of travel, the tourist has covered a distance of 5 km/h * 2 h = 10 km.

At the same time, the cyclist has covered a distance of 12 km/h * 2 h = 24 km.

The distance between them after two hours is one-third of the total distance, which means it is (1/3) * D km.

According to the given information, the distance between them after two hours is 10 km + 24 km = 34 km.

We can set up the following equation to solve for D:

10 km + 24 km = (1/3) * D km

Simplifying the equation:

34 km = (1/3) * D km

Multiplying both sides by 3:

102 km = D km

Therefore, the length of the segment AB, D, is 102 km.

Answer

The length of the segment AB is 102 km.