Question

Реши задачу алгебраически отправившись в поход школьники через некоторое время сделали Привал После него они прошли еще 10 км и оказалось что им осталось пройти в 3 раза больше чем мы уже пройдено На каком расстоянии от начала пути была сделана Привал если всего они пройдут 100 километров

Answer 1

Problem Analysis

To solve this problem algebraically, we need to determine the distance at which the students took a break during their hike. We are given that after the break, they walked an additional 10 km and found that the remaining distance to be covered was three times the distance they had already covered. We need to find the distance of the break from the starting point.

Solution

Let's assume that the distance of the break from the starting point is x km.

After the break, the students walked an additional 10 km, so the distance covered up to that point is x + 10 km.

The remaining distance to be covered after the break is three times the distance already covered, which is 3(x + 10) km.

According to the problem, the total distance to be covered is 100 km.

We can set up the following equation to represent the problem:

x + 10 + 3(x + 10) = 100

Now, let's solve this equation to find the value of x.

Expanding the equation:

x + 10 + 3x + 30 = 100

Combining like terms:

4x + 40 = 100

Subtracting 40 from both sides:

4x = 60

Dividing both sides by 4:

x = 15

Therefore, the distance of the break from the starting point is 15 km.

Answer

The break was made at a distance of 15 km from the starting point.

Please let me know if you need any further assistance!