Question

На перевал туристическая группа поднималась со скоростью 2 км в час, а спускалась з другого бока горы со скоростью 4 км в час.Какою была средняя скоростьгруппы на всьом пути,если на подъем было потрачено три четвёртых всего времени?

Answer 1

2*3/4+4*1/4=2,5км/час средняя скорость группы на всём пути

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Answer 2

Calculating the Average Speed of the Tourist Group

To calculate the average speed of the tourist group on the entire journey, we can use the formula for average speed, which is the total distance traveled divided by the total time taken.

The tourist group ascended at a speed of 2 km/h and descended at a speed of 4 km/h. Let's denote the total distance of the ascent as D and the total distance of the descent as D'.

The total time taken for the journey can be represented as the sum of the time taken for the ascent and the time taken for the descent. Let's denote the total time taken for the ascent as T and the total time taken for the descent as T'.

Given that the group spent three-fourths of the total time on the ascent, we can express the total time taken for the ascent as T = (3/4) * (T + T').

Using this information, we can calculate the average speed of the group on the entire journey.

Calculation Steps

1. Let's assume the total distance of the ascent as D and the total distance of the descent as D'. 2. The time taken for the ascent, T, can be expressed as T = D / 2. 3. The time taken for the descent, T', can be expressed as T' = D' / 4. 4. Given that the group spent three-fourths of the total time on the ascent, we have T = (3/4) * (T + T').

Calculating the Average Speed

Using the above information, we can calculate the average speed of the group on the entire journey.

Let's denote the total distance of the journey as D_total = D + D'.

The total time taken for the journey can be expressed as T_total = T + T'.

The average speed of the group on the entire journey can be calculated as Average Speed = D_total / T_total.

Conclusion

By following the steps outlined above, we can calculate the average speed of the tourist group on the entire journey, taking into account the different speeds during ascent and descent.