Question

Первую половину пути автомобиль двигался со скоростью 60 км в час а вторую половину пути со скоростью 100 км в чаc. Нужно найти среднюю скорость движения авто

Answer 1

$v_{cp} = \frac{s_1 + s_2}{t_1 + t_2} = \frac{s}{\frac{s}{2v_1} + \frac{s}{2v_2}} = \frac{2sv_1v_2}{s(v_1+v_2)} = \frac{2v_1v_2}{v_1+v_2}$

Отсюда ответ 75 км/ч.

Answer 2

Calculating the Average Speed of a Car

To find the average speed of the car, we can use the formula:

Average Speed = Total Distance / Total Time

Given that the car traveled the first half of the distance at a speed of 60 km/h and the second half at a speed of 100 km/h, we can calculate the average speed using the above formula.

First, let's calculate the total distance traveled by the car. Since the car traveled the first half of the distance at 60 km/h and the second half at 100 km/h, the total distance can be calculated as the sum of the distances traveled in each half.

The total time taken can be calculated as the sum of the times taken to cover each half of the distance.

Calculations

The total distance traveled can be represented as D and the total time taken can be represented as T.

The time taken to cover the first half of the distance can be represented as T1 and the time taken to cover the second half can be represented as T2.

Given that the car traveled the first half of the distance at 60 km/h and the second half at 100 km/h, we can calculate the distances and times as follows:

- Distance of the first half (D1) = Speed * Time = 60 km/h * T1 - Distance of the second half (D2) = Speed * Time = 100 km/h * T2

The total distance D is the sum of the distances of the first and second halves: - D = D1 + D2

The total time T is the sum of the times taken for the first and second halves: - T = T1 + T2

Using the above calculations, we can find the average speed of the car.

Let's proceed with the calculations.