Question

Помогите пожалуйста с задачей! Лiтак долетiв з одного мiста в друге за 3 години. За першу годину вiн пролетiв 35%, за другу 55%, а за третю 588 км. Знайти вiдстань мiж мiстами.

Answer 1

Нехай відстань між містами х, тоді за першу годину - 0,35х, за другу годину - 0,55х. Маємо рівняння:
0,35х+0,55х+588=х
588=х-0,35х-0,55х
588=0,1х
х=588/0,1
х= 5880 - відстань між містами

Answer 2

Problem Analysis

To solve this problem, we need to find the total distance between two cities given the time it took for a plane to fly between them and the distances covered during each hour of the flight. We are given that the plane flew for 3 hours, covering 35% of the total distance in the first hour, 55% in the second hour, and 588 km in the third hour.

Solution

Let's assume the total distance between the two cities is D km.

According to the given information: - In the first hour, the plane covered 35% of the total distance, which is 0.35D km. - In the second hour, the plane covered 55% of the total distance, which is 0.55D km. - In the third hour, the plane covered 588 km.

To find the total distance D, we can set up the following equation:

0.35D + 0.55D + 588 = D

Simplifying the equation:

0.9D + 588 = D

Subtracting 0.9D from both sides:

588 = 0.1D

Dividing both sides by 0.1:

5880 = D

Therefore, the total distance between the two cities is 5880 km.

Answer

The distance between the two cities is 5880 km.