Question

Нужна помощь, напишите решение. Когда автомобиль проехал 10 км и еще 3/4 оставшегося пути, ему осталось проехать 1/6 всего пути и еще 10 км. Какова длина всего пути?

Answer 1

Допустим весь путь=х
10+3/4 от (х-10)+1/6 от х+10=х
(3х-30)/4+(х+10)/6+20=х
3(3х-30)+2(х+10)+240=12х
9х-90+2х+20+240=12х
11х+170=12х
170=х

Answer 2

Problem Analysis

We are given that a car has traveled 10 km and still has 3/4 of the remaining distance to travel. Additionally, it has 1/6 of the total distance left to travel, along with an additional 10 km. We need to find the total length of the entire journey.

Solution

Let's assume the total distance of the journey is represented by x.

According to the given information: - The car has traveled 10 km. - The car still has 3/4 of the remaining distance to travel. - The car has 1/6 of the total distance left to travel, along with an additional 10 km.

To find the total length of the journey, we can set up the following equation:

10 + (3/4)(x - 10) + (1/6)x + 10 = x

Let's solve this equation to find the value of x.

10 + (3/4)(x - 10) + (1/6)x + 10 = x

Simplifying the equation:

20 + (3/4)(x - 10) + (1/6)x = x

Multiplying through by 12 to eliminate the fractions:

240 + 9(x - 10) + 2x = 12x

240 + 9x - 90 + 2x = 12x

240 + 11x - 90 = 12x

150 + 11x = 12x

150 = x

Therefore, the total length of the entire journey is 150 km.

Answer

The total length of the entire journey is 150 km.