Question

Совершая однодневный поход, учащиеся сделали привал. обсудив дальнейший маршрут , они пришли к выводу, что им осталось пройти путь в 3 раза меньший и он на 8 короче пройденного. найдите длину всего туристского маршрута. ДВУМЯ СПОСОБАМИ. ПОМОГИТЕ

Answer 1

Будем считать, что путь пройден все-таки в км.
1) х-путь, который надо пройти,
    3х - путь, который пройден
3х-х=8-----
2х=8
х=4 км осталось пройти
4*3=12 км было пройдено
12+4=16 км длина туристического маршрута.

2) решим частями
х-весь путь
всего части 4: 1/4-осталось пройти, 3/4-пройдено
3/4х-1/4х=8 км
 2х/4=18
2х=32
х=32:2
х=16 км длина всего маршрута

Answer 2

Calculation of the Total Tourist Route Length

To find the length of the entire tourist route, we need to use the information provided in the question. According to the question, the students concluded that the remaining distance they had to cover was 3 times smaller than the distance they had already covered, and it was 8 kilometers shorter.

Let's assume that the distance they had already covered is represented by x kilometers.

Based on the given information, we can set up the following equation:

x - 8 = (1/3)x

Simplifying the equation, we get:

3x - 24 = x

Solving for x, we find:

2x = 24

x = 12

Therefore, the distance they had already covered is 12 kilometers.

To find the total length of the tourist route, we need to add the distance they had already covered (12 kilometers) to the remaining distance they had to cover (8 kilometers).

Hence, the total length of the tourist route is:

12 kilometers + 8 kilometers = 20 kilometers

So, the total length of the tourist route is 20 kilometers.

Please let me know if there is anything else I can help you with!