Question

Два друга поспорили кто быстрее доедет на велосипеде от деревни иваньково до деревне Михайлова один друг ехал со скоростью 5 км ч больше чем ехал второй и затратил 24 минуты у второго до Михайлова заняла 30 минут определите расстояние в километрах между деревня иваньково и деревня Михайлова? ​

Answer 1

Ответ:

10 км

Объяснение:

Первый ехал со скоростью на 5 км/ч больше, чем второй.

Значит, скорость второго была х км/ч, а скорость первого х+5 км/ч.

Первый доехал за 24 минуты = 24/60 = 4/10 = 0,4 часа.

Второй доехал за 30 минут = 0,5 часа.

Расстояние:

S = 0,4(x+5) = 0,5x

0,4x + 2 = 0,5x

2 = 0,5x - 0,4x = 0,1x

x = 2*10 = 20 км/ч скорость второго велосипедиста.

Расстояние:

S = 0,5x = 0,5*20 = 10 км

Answer 2

To determine the distance between the villages of Ivan'kovo and Mikhaylovo, we can use the information given in the question. Let's break down the information and solve the problem step by step.

Given Information:

- One friend traveled from Ivan'kovo to Mikhaylovo at a speed that was 5 km/h faster than the other friend. - The first friend took 24 minutes longer to reach Mikhaylovo than the second friend. - The second friend took 30 minutes to reach Mikhaylovo.

Solution:

Let's assume that the second friend's speed is x km/h. Since the first friend's speed is 5 km/h faster, their speed would be (x + 5) km/h.

We know that time = distance / speed. Let's calculate the time taken by each friend to travel from Ivan'kovo to Mikhaylovo.

For the second friend: - Time taken = 30 minutes = 30/60 hours = 0.5 hours.

For the first friend: - Time taken = 0.5 hours + 24 minutes = (0.5 + 24/60) hours = 0.9 hours.

Now, we can set up an equation using the formula: time = distance / speed.

For the second friend: - Time = 0.5 hours - Speed = x km/h

For the first friend: - Time = 0.9 hours - Speed = (x + 5) km/h

Setting up the equation: 0.5 = distance / x 0.9 = distance / (x + 5)

To solve this system of equations, we can use the method of substitution.

From the first equation, we can express the distance in terms of x: distance = 0.5x

Substituting this value in the second equation: 0.9 = (0.5x) / (x + 5)

Now, we can solve for x.

Simplifying the equation: 0.9(x + 5) = 0.5x 0.9x + 4.5 = 0.5x 0.9x - 0.5x = -4.5 0.4x = -4.5 x = -4.5 / 0.4 x = -11.25

Since we cannot have a negative speed, it seems there might be an error in the given information or calculations. Please double-check the values provided in the question.

If you have any further questions, feel free to ask!