Question

Из посёлков Озерки и Дубки, удалённых друг от друга на некоторое расстояние, вышли одновременно и пошли в одном направлении две машины: грузовая и легковая. Скорость грузовой машины - 70 км/ч, а скорость легковой машины 90 км/ч. Через 5 часов легковая машина догнала грузовую. Чему равно расстояниеи между посёлками Озерки и Дубки

Answer 1

1)90-70=20км/ч-скорость сближения.

2)100:20=через 5 часов-они встретятся.

ОТВЕТ: через 5 часов

Answer 2

Problem Analysis

We are given that two cars, a truck and a passenger car, leave the villages of Ozerki and Dubki simultaneously and travel in the same direction. The truck has a speed of 70 km/h, and the passenger car has a speed of 90 km/h. After 5 hours, the passenger car catches up to the truck. We need to find the distance between the villages of Ozerki and Dubki.

Solution

Let's assume that the distance between the villages of Ozerki and Dubki is d kilometers.

Since both cars travel for 5 hours, we can calculate the distances they cover in that time:

- The truck travels at a speed of 70 km/h for 5 hours, covering a distance of 70 * 5 = 350 km. - The passenger car travels at a speed of 90 km/h for 5 hours, covering a distance of 90 * 5 = 450 km.

We know that the passenger car catches up to the truck after 5 hours. This means that the passenger car has covered a distance equal to the difference in their initial distances. The difference in their initial distances is the distance between the villages of Ozerki and Dubki.

Therefore, we can set up the following equation:

450 km - 350 km = d km

Simplifying the equation, we find:

100 km = d km

So, the distance between the villages of Ozerki and Dubki is 100 kilometers.

Answer

The distance between the villages of Ozerki and Dubki is 100 kilometers.