Question

Отправившись в поход школьники через некоторое время сделали большой привал после чего они прошли ещё 10 км и оказалось что им осталось пройти в 3 раза больше чем уже пройдено. На каком расстоянии от начала пути был сделан большой привал если всего они пройдут 100 км?

Answer 1

Пусть пройдя х км школьники сделали привал
Пройдя еще 10 км, получаем, что прошли они (х+10)
Осталось пройти 100-(х+10)
По условию оставшийся путь в три раза больше пройденного
3(х+10)=100-(х+10)
3х+30=100-х-10
3х+х=100-10-30
4х=60
х=15
Школьники сделали большой привал когда прошли 15 км

Answer 2

Problem Analysis

We are given that a group of schoolchildren went on a hike and took a long break. After the break, they walked an additional 10 km and realized that they had three times more distance left to cover than what they had already walked. We need to determine the distance from the starting point where they took the long break.

Solution

Let's assume that the distance covered before the break is x km. After the break, they walked an additional 10 km, so the total distance covered is x + 10 km. We are given that the remaining distance is three times the distance covered before the break, which can be expressed as 3x km.

According to the given information, the total distance they will cover is 100 km. We can set up the following equation to solve for x:

x + 10 + 3x = 100

Simplifying the equation:

4x + 10 = 100

4x = 90

x = 22.5

Therefore, the distance from the starting point where they took the long break is 22.5 km.

Answer

The distance from the starting point where the schoolchildren took the long break is 22.5 km.