Question

ЛЮДИ ДОБРЫЕ РЕШИТЕ СРОЧНО ПОЖАЛУЙСТА!!!только ДЕЙСТВИЕ УМОЛЯЮ.Крестьянин шел пешком из села в город. Возвращаясь обратно, он первую половину пути проехал на волах, которые шли в 2 раза медленнее, чем крестьянин шел пешком, а вторую половину пути на лошади, скорость которой была в 2 раза больше скорости крестьянина. Через сколько часов крестьянин должен был пересесть на лошадь, чтобы затратить на обратный путь столько же времени, сколько на путь в город, если от села до города 36 км, а скорость крестьянина была 4 км/ч?

Answer 1

1) 4:2=2 км/ч - скорость волов
2) 4*2=8 км/ч - скорость лошади
3) 36:4=9 ч - шел пешком
х ч - проехал на волах
у ч - на лошади
решаем систему:

2х+8у=36
х+у=9

х=9-у
2(9-у)+8у=36

х=9-у
18-2у+8у=36

х=9-у
6у=18

у=3
х=6
ответ: через 6 часов

Answer 2

Problem Analysis

A peasant is walking from a village to a city and then back. On the return journey, he travels the first half of the distance on oxen, which move at half his walking speed. For the second half, he rides a horse, which moves at twice his walking speed. The question is how many hours the peasant should have ridden the horse in order to spend the same amount of time on the return journey as he did on the journey to the city.

Solution

Let's break down the problem step by step:

1. The distance from the village to the city is 36 km. 2. The peasant's walking speed is 4 km/h. 3. The oxen move at half the peasant's walking speed, so their speed is 2 km/h. 4. The horse moves at twice the peasant's walking speed, so its speed is 8 km/h.

To find the time it takes for the peasant to travel from the village to the city, we can use the formula:

Time = Distance / Speed

The time it takes for the peasant to walk from the village to the city is:

Time_walk = Distance / Walking_speed = 36 km / 4 km/h = 9 hours.

To find the time it takes for the peasant to travel from the city back to the village, we need to consider that he travels the first half of the distance on oxen and the second half on a horse.

Let's assume the total time for the return journey is T hours. The time spent on the first half of the journey (on oxen) is T/2 hours, and the time spent on the second half of the journey (on a horse) is also T/2 hours.

The distance traveled on the first half of the journey is half of the total distance, which is 36 km / 2 = 18 km.

The distance traveled on the second half of the journey is also 18 km.

Using the formula Time = Distance / Speed, we can calculate the time spent on each half of the journey:

Time_oxen = Distance_oxen / Oxen_speed = 18 km / 2 km/h = 9 hours.

Time_horse = Distance_horse / Horse_speed = 18 km / 8 km/h = 2.25 hours.

Since the total time for the return journey is the sum of the time spent on each half of the journey, we have:

T = Time_oxen + Time_horse = 9 hours + 2.25 hours = 11.25 hours.

Therefore, the peasant should have ridden the horse for 11.25 hours in order to spend the same amount of time on the return journey as he did on the journey to the city.

Answer

The peasant should have ridden the horse for 11.25 hours in order to spend the same amount of time on the return journey as he did on the journey to the city.

References

- Source: ' 1898-1903 () ' - Snippet: ``` , , . , , , , , ...```