Question

Два лыжника вышли из посёлка в одно и то же время в противоположных направлениях.Один шёл со скоростью 14 км в час,а другой - 10 км в час.Через сколько часов расстояние между ними будет 96 км?

Answer 1

Чтобы найти время, нужно расстояние делить на время, т.е 14+10=24 и 96/24=4

Answer 2

Problem Analysis

Two skiers start from a village at the same time, but in opposite directions. One skier travels at a speed of 14 km/h, while the other skier travels at a speed of 10 km/h. We need to determine how many hours it will take for the distance between them to be 96 km.

Solution

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

Let's assume that the time it takes for the skiers to meet is t hours.

The distance covered by the first skier in t hours is given by: 14t km.

The distance covered by the second skier in t hours is given by: 10t km.

Since they are moving in opposite directions, the sum of the distances covered by both skiers will be equal to the total distance between them, which is 96 km.

Therefore, we can write the equation: 14t + 10t = 96.

Simplifying the equation, we get: 24t = 96.

Dividing both sides of the equation by 24, we find: t = 4.

Therefore, it will take 4 hours for the skiers to be 96 km apart.

Answer

The skiers will be 96 km apart after 4 hours.

Explanation

When the skiers start from the village, they move in opposite directions. The first skier travels at a speed of 14 km/h, while the second skier travels at a speed of 10 km/h. After 4 hours, the first skier will have covered a distance of 14 km/h × 4 h = 56 km, and the second skier will have covered a distance of 10 km/h × 4 h = 40 km. The sum of these distances is 56 km + 40 km = 96 km, which is the desired distance between them. Therefore, after 4 hours, the skiers will be 96 km apart.