Question

Решить задачу с помощью уравнения. 1) Ледокол три дня пробивался через ледяное поле. В первый день прошел 0,6 всего пути, во второй день еще 0,6 оставшегося пути, а в третий день – остальные 24 км. Найти длину пути, пройденного ледоколом за три дняПожалуйста помогите это очень срочно! ​

Answer 1

Ответ:

длина пути 150км

Пошаговое объяснение:

$0.6x + (0.4 \times 0.6x) + 24 = x \\ 0.6x + 0.24x + 24 = x \\ 0.84x + 24 = x \\ x - 0.84x = 24 \\ 0.16x = 24 \\ x = \frac{24}{0.16} \\ x = 150$

Answer 2

Ответ:

Х км -весь путь 1/2х %3D 0,5х прошел в первый день х-О,5х-0,5х остаток пути после первого дня пути 0,5х*0,6-0,3х прошел во второй день х- 0,5х - 0,3х %3D 24 0,2х 3D 24 x-24 : 0,2 х-120 (км) - весь путь. Ответ: 120 км.

Answer 3

Problem Analysis

To solve this problem, we can use the equation that relates distance, time, and speed: distance = speed × time. We'll need to find the speed of the icebreaker for each day and then calculate the total distance traveled over the three days.

Solution

Let's denote the total distance as D and the speed of the icebreaker on the first, second, and third days as S1, S2, and S3, respectively.

On the first day, the icebreaker traveled 0.6 of the total distance, so we can write the equation: 0.6D = S1 × 1 (since the icebreaker traveled for one day)

On the second day, the icebreaker traveled another 0.6 of the remaining distance, so we can write the equation: 0.6(0.4D) = S2 × 1 (since the icebreaker traveled for one day)

On the third day, the icebreaker traveled the remaining 24 km, so we can write the equation: 0.4D = S3 × 1 (since the icebreaker traveled for one day)

To find the total distance traveled over the three days, we need to solve this system of equations.

Solving the Equations

Let's solve the system of equations step by step.

From the first equation, we can express S1 in terms of D: S1 = 0.6D

Substituting this into the second equation, we get: 0.6(0.4D) = S2 × 1 0.24D = S2

Substituting S1 = 0.6D and S2 = 0.24D into the third equation, we get: 0.4D = S3 × 1 0.4D = S3

Now we have three equations: S1 = 0.6D S2 = 0.24D S3 = 0.4D

To find the total distance D, we need to find the values of S1, S2, and S3.

Finding the Speeds

From the given information, we know that on the first day, the icebreaker traveled 0.6 of the total distance. On the second day, it traveled another 0.6 of the remaining distance, which means it traveled 0.6 × 0.4 = 0.24 of the total distance. Finally, on the third day, it traveled the remaining 24 km, which is 0.4 of the total distance.

Therefore, we can substitute these values into the equations: S1 = 0.6D = 0.6 × D S2 = 0.24D S3 = 0.4D

Calculating the Total Distance

To find the total distance D, we can add up the distances traveled on each day: D = S1 + S2 + S3

Substituting the values of S1, S2, and S3, we get: D = 0.6D + 0.24D + 0.4D

Simplifying the equation, we have: D = 1.24D

Dividing both sides by 1.24, we find: D = 0.8065D

Therefore, the total distance traveled by the icebreaker over the three days is 0.8065D.

Calculating the Length of the Path Traveled

To find the length of the path traveled by the icebreaker over the three days, we can multiply the total distance D by 0.8065: Length of path = 0.8065D

Final Answer

To find the length of the path traveled by the icebreaker over the three days, we need to calculate D and then multiply it by 0.8065.

Unfortunately, the value of D is not provided in the problem statement, so we cannot calculate the exact length of the path traveled by the icebreaker.