Question

Отправились в поход,школьники через некоторое время сделали привал.После него они прошли ещё 10 км, и оказалось , что им осталось пройти в 3раза больше,чем уже пройдено. На каком расстоянии от начала пути был сделан привал,если всего они пройдут 100км Изменить условие задачи так,чтобы её решение стало короче.

Answer 1

Х км -расстояние до привала  х+10+3(х+10)=100,    х+10+3х+30=100                 4х+40=100,    4х=60,   х=15   Ответ: 15 км

Answer 2

Original Problem:

The problem states that a group of schoolchildren went on a hike, took a break, and then walked another 10 km. After that, they realized they had to walk three times the distance they had already covered. The total distance they need to walk is 100 km. The task is to find the distance from the starting point where they took the break.

To solve this problem, we can use the following steps:

1. Define the Variables: Let's denote the distance covered before the break as *x* km. 2. Formulate the Equation: We can create an equation based on the given information. 3. Solve the Equation: We'll solve the equation to find the distance of the break from the starting point.

Solution:

1. Define the Variables: - Let *x* be the distance covered before the break.

2. Formulate the Equation: - After the break, the students walked another 10 km, so the total distance covered at that point is *x + 10* km. - It's given that the remaining distance is three times the distance already covered, so the remaining distance is *3(x + 10)* km. - The total distance they need to walk is 100 km, so we have the equation: *x + 10 + 3(x + 10) = 100*.

3. Solve the Equation: - Let's solve the equation to find the value of *x*.

- *x + 10 + 3(x + 10) = 100* - *x + 10 + 3x + 30 = 100* - *4x + 40 = 100* - *4x = 60* - *x = 15*

Answer:

The distance from the starting point where the break was taken is 15 km.

Revised Problem:

To make the solution shorter, we can revise the problem as follows: "A group of schoolchildren went on a hike and walked a certain distance before taking a break. After the break, they walked another 10 km and realized they had to walk three times the distance they had already covered. If the total distance they need to walk is 100 km, what is the distance from the starting point where they took the break?"