Question

Из двух посёлков, находящихся на расстоянии 20км, вышли одновременно навстречу друг другу два лыжника. Они встретились через 40мин. Один из них шёл со средней скоростью 240м/мин. С какой скоростью шёл другой лыжник?

Answer 1

20 км=20000м
20000:40=500 м/мин скорость сближения
500-240=260 м/мин скорость второго
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Answer 2

285 м в сек скорость 2 лыжника

Answer 3

Problem Analysis

Two skiers started simultaneously from two villages that are 20 km apart and met each other after 40 minutes. One of the skiers was traveling at a speed of 240 m/min. We need to determine the speed at which the other skier was traveling.

Solution

To solve this problem, we can use the formula: speed = distance / time.

Let's assume the speed of the second skier is x m/min. Since both skiers started simultaneously and met after 40 minutes, we can set up the following equation:

20 km = (240 m/min + x m/min) * 40 min

Now, let's solve this equation to find the speed of the second skier.

Calculation

Converting 20 km to meters: 20 km = 20,000 m

Substituting the values into the equation:

20,000 m = (240 m/min + x m/min) * 40 min

Expanding the equation:

20,000 m = 9,600 m + 40x m

Simplifying the equation:

20,000 m - 9,600 m = 40x m

10,400 m = 40x m

Dividing both sides of the equation by 40 m:

x = 10,400 m / 40 m

Simplifying:

x = 260 m/min

Answer

The second skier was traveling at a speed of 260 m/min.

Explanation

The two skiers started simultaneously from two villages that are 20 km apart. One skier was traveling at a speed of 240 m/min, and the other skier's speed was calculated to be 260 m/min. They met each other after 40 minutes. By solving the equation using the formula for speed, we determined that the second skier was traveling at a speed of 260 m/min