Question

Решите задачу,составляя уравнения или системы уравненийТуристы отправились в трехдневный поход.Расстояние,пройденное в первый день,было в 1,2 раза меньше расстояния,пройденного во второй день,а последний отрезок пути был равен 40% пути,пройденного за первые 2 дня.Определите,сколько километров прошли туристы за каждый из 3 дней,если всего за 3 дня они прошли 77 кмПомогите пожалуйста :)

Answer 1

Пусть за первых день они прошли x км, тогда во второй 1,2*х
а в третий 0,4*(1,2х+х)
всё вместе 77 км, 
т.е. х+1,2*х+0,4*(1,2х+х)=77
3,08*х=77
х=25 -(в первых день)
1,2*25=30(второй)
(30+25)*0,4=22(третий)

Answer 2

Problem Analysis

We are given that a group of tourists went on a three-day hike. The distance covered on the first day was 1.2 times less than the distance covered on the second day. The last segment of the journey was equal to 40% of the distance covered in the first two days. We need to determine the distance covered by the tourists on each of the three days, given that they covered a total of 77 km in three days.

Solution

Let's assume the distance covered on the second day is x km. Then, the distance covered on the first day would be 1.2x km, and the distance covered on the last segment would be 0.4(1.2x + x) km.

According to the problem, the total distance covered in three days is 77 km. Therefore, we can write the equation:

1.2x + x + 0.4(1.2x + x) = 77

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

Solving the Equation

Expanding the equation, we get:

1.2x + x + 0.4(1.2x + x) = 77

Simplifying the equation:

1.2x + x + 0.4(2.2x) = 77

1.2x + x + 0.88x = 77

2.2x + 0.88x = 77

3.08x = 77

Dividing both sides by 3.08:

x = 77 / 3.08

x ≈ 25

So, the distance covered on the second day is approximately 25 km.

Calculating the Distances for Each Day

Now that we know the distance covered on the second day, we can calculate the distances for each day.

- Distance covered on the first day: 1.2 times less than the distance covered on the second day, so it is 1.2 * 25 = 30 km. - Distance covered on the last segment: 40% of the distance covered in the first two days, so it is 0.4(1.2 * 25 + 25) = 0.4(30 + 25) = 0.4 * 55 = 22 km.

Therefore, the distances covered by the tourists on each of the three days are as follows: - First day: 30 km - Second day: 25 km - Third day: 22 km

Answer

The tourists covered 30 km on the first day, 25 km on the second day, and 22 km on the third day.

Please let me know if you need any further assistance!