Question

Расстояние между туристскими привалами 24 км группы туристов преодолевают это расстояние на лыжах за 6 часов а на аэросанях за 2 часа Быстрее из этих привалов Одновременно навстречу друг другу выходят две группы 1 на лыжах другая на аэросанях Через какое время они встретятся

Answer 1

6 ч-2 ч=4 ч (проезжают 24 км аэросани)
24 км:6 ч=4 км/ч (скорость лыжников) (V=S:t)
24 км:4 ч=6 км/ч (скорость аэросаней)
4 км/ч+6 км/ч=10 км/ч (скорость сближения)
24 км:10 км/ч=2,4 ч (t=S:V)
Ответ: они встретятся через 2,4 часа (2 часа 24 минуты)

Answer 2

Problem Analysis

We are given that a group of tourists covers a distance of 24 km between two rest stops. They can cover this distance on skis in 6 hours and on snowmobiles in 2 hours. Two groups, one on skis and the other on snowmobiles, start simultaneously from the rest stops towards each other. We need to determine how long it will take for them to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two groups is the sum of their individual speeds. Let's denote the speed of the group on skis as S and the speed of the group on snowmobiles as M.

We are given that the distance between the rest stops is 24 km. The group on skis covers this distance in 6 hours, so their speed can be calculated as:

S = Distance / Time = 24 km / 6 hours = 4 km/h Similarly, the group on snowmobiles covers the same distance in 2 hours, so their speed can be calculated as:

M = Distance / Time = 24 km / 2 hours = 12 km/h Now, we can calculate the relative speed between the two groups:

Relative Speed = S + M = 4 km/h + 12 km/h = 16 km/h

To determine the time it will take for the two groups to meet, we can use the formula:

Time = Distance / Relative Speed = 24 km / 16 km/h = 1.5 hours

Therefore, the two groups will meet after 1.5 hours.

Answer

The two groups, one on skis and the other on snowmobiles, will meet after 1.5 hours.

Please let me know if there is anything else I can help you with.