Question

Решите задачу : от населенного пункта до ближайшей станции туристы едут на автобусе.Если автобус будет ехать со скоростью 60 кмч,то они прибудут на станцию на 20 минут раньше.Если автобус будет ехать со скоростью 50 кмч,то они прибудут на станцию на 12 минут позже.Каково расстояние от населенного пункта до ближайшей станции.

Answer 1

Там должно быть одинаковой двдвлалоа

Answer 2

Problem Analysis

We are given that tourists are traveling from a settlement to the nearest station by bus. If the bus travels at a speed of 60 km/h, they will arrive at the station 20 minutes early. If the bus travels at a speed of 50 km/h, they will arrive at the station 12 minutes late. We need to find the distance from the settlement to the nearest station.

Solution

Let's assume that the distance from the settlement to the nearest station is d km.

If the bus travels at a speed of 60 km/h, it arrives at the station 20 minutes early. This means that the time taken to travel the distance d at a speed of 60 km/h is equal to the time taken to travel the same distance at a speed of 50 km/h plus 20 minutes.

Using the formula time = distance / speed, we can set up the following equation:

d / 60 = d / 50 + 20 minutes

To solve this equation, we need to convert the time in minutes to hours. Since 1 hour is equal to 60 minutes, 20 minutes is equal to 20/60 = 1/3 hours.

Now, let's solve the equation:

d / 60 = d / 50 + 1/3

To simplify the equation, we can multiply both sides by the least common multiple (LCM) of 60 and 50, which is 300:

5d = 6d + 100

Simplifying further:

d = 100 km

Therefore, the distance from the settlement to the nearest station is 100 km.

Answer

The distance from the settlement to the nearest station is 100 km.