Question

Два лыжника вышли из посёлка одновременно в противоположных направлениях .один из них шёл со скоростью 12км/ч,а другой -10км/ч.через сколько часов расстояние между ними будет 44км? какое расстояние пройдет за это время каждый лыжник ?

Answer 1

44:(12+10)=2 часа через это время расстояние будет 44 км
тогда первый прошел 12*2=24км
второй 10*2=20 км

Answer 2

Problem Analysis

We have two skiers who start from a village at the same time and move in opposite directions. One skier has a speed of 12 km/h, while the other has a speed of 10 km/h. We need to determine how many hours it will take for the distance between them to be 44 km, as well as the distance each skier will have traveled during that time.

Solution

Let's assume that the time it takes for the distance between the skiers to be 44 km is t hours.

To find the time, we can set up the following equation:

Distance traveled by the first skier = Speed of the first skier * Time

Distance traveled by the second skier = Speed of the second skier * Time

Since they are moving in opposite directions, the total distance between them is the sum of the distances traveled by each skier:

Total distance = Distance traveled by the first skier + Distance traveled by the second skier

Given that the total distance is 44 km, we can write the equation as:

44 = (12 * t) + (10 * t)

Simplifying the equation:

44 = 22t

Dividing both sides by 22:

t = 2

Therefore, it will take 2 hours for the distance between the skiers to be 44 km.

To find the distance traveled by each skier, we can substitute the value of t into the equations:

Distance traveled by the first skier = 12 km/h * 2 hours = 24 km

Distance traveled by the second skier = 10 km/h * 2 hours = 20 km

Therefore, the first skier will travel a distance of 24 km, and the second skier will travel a distance of 20 km.

Answer

It will take 2 hours for the distance between the skiers to be 44 km. During this time, the first skier will travel a distance of 24 km, and the second skier will travel a distance of 20 km.