Question

От деревни до станции велосипедист ехал со скоростю 15 км/ч, а обратно он возвращался со скоростью 10 км/ч. Найдите расстояние от деревни до станции, если известно, что на обратный путь велосипедист затратил на 1 ч больше, чем на путь от деревни до станции.

Answer 1

1)15-10=5(км)составляет 1 час

2)15:5=3(ч)ехал велосипедист от деревни до станции

3)15*3=45(км)

ответ:45к от деревни до станции

=)))

Answer 2

Получается уравнение:

15х=10х+10

5х=10

х=2

Расстояние равно 15 умножить на 2=30км

Ответ: 30 км 

Answer 3

Problem Analysis

We are given that a cyclist traveled from a village to a train station at a speed of 15 km/h and returned from the train station to the village at a speed of 10 km/h. We need to find the distance between the village and the train station, given that the cyclist spent 1 hour more on the return journey than on the journey from the village to the train station.

Solution

Let's assume that the distance between the village and the train station is d kilometers.

We can use the formula time = distance / speed to calculate the time taken for each journey.

For the journey from the village to the train station: - Time = distance / speed = d / 15

For the return journey from the train station to the village: - Time = distance / speed = d / 10

We are given that the cyclist spent 1 hour more on the return journey than on the journey from the village to the train station. So, we can set up the equation:

d / 10 = d / 15 + 1

To solve this equation, we can multiply both sides by the least common multiple (LCM) of 10 and 15, which is 30:

30 * (d / 10) = 30 * (d / 15 + 1)

3d = 2d + 30

Now, we can solve for d:

3d - 2d = 30

d = 30

Therefore, the distance between the village and the train station is 30 kilometers.

Answer

The distance from the village to the train station is 30 kilometers.