Question

Ледокол 3 дня пробивал себе путь во льдах. в первый день он проплыл 2/5 всего пути , во второй день- 5/8 оставшегося пути , а в третий день - оставшиеся 90 км. Чему равен путь, который проплыл ледокол за 3 дня пути ? сколько километров он проплыл в первый и во второй день??

Answer 1

/-------/-------/------/--------/-------/-------/--------/-------/
             5/8                      / 90км                /
90:3=30км 1 часть пути
30*50=150км во 2 день
150+90=240км за 2 и 3 день
/--------/---------/--------/--------/---------/
       2/5        /  2 и 3 день =240 км/
240:3=80км 1 часть
80*2 =160км  в 1 день
ответ: 160км и 150км

Answer 2

Problem Analysis

We are given that a icebreaker ship traveled for 3 days. On the first day, it covered 2/5 of the total distance. On the second day, it covered 5/8 of the remaining distance. And on the third day, it covered the remaining 90 km. We need to find the total distance traveled by the icebreaker and the distances covered on the first and second days.

Solution

Let's assume the total distance traveled by the icebreaker is D km.

On the first day, the icebreaker covered 2/5 of the total distance, which is (2/5) * D km.

On the second day, the icebreaker covered 5/8 of the remaining distance. The remaining distance after the first day is (3/5) * D km. Therefore, the distance covered on the second day is (5/8) * (3/5) * D km.

On the third day, the icebreaker covered the remaining 90 km.

To find the total distance traveled by the icebreaker, we can set up the following equation:

(2/5) * D + (5/8) * (3/5) * D + 90 = D

Simplifying the equation:

(2/5) * D + (3/8) * D + 90 = D

Multiplying through by 40 to eliminate the fractions:

16D + 15D + 3600 = 40D

Combining like terms:

31D + 3600 = 40D

Subtracting 31D from both sides:

3600 = 9D

Dividing both sides by 9:

D = 400

Therefore, the total distance traveled by the icebreaker is 400 km.

To find the distance covered on the first day, we can substitute the value of D into the equation:

(2/5) * 400 = 160

Therefore, the icebreaker covered 160 km on the first day.

To find the distance covered on the second day, we can substitute the value of D into the equation:

(5/8) * (3/5) * 400 = 150

Therefore, the icebreaker covered 150 km on the second day.

Answer

The icebreaker traveled a total distance of 400 km over the course of 3 days. It covered 160 km on the first day and 150 km on the second day.