Question

половину пути автомобиль прошел со скоростью 36 км ч а вторую половину со скоростью 54 км ч Найдите среднюю скорость движения автомобиля в километрах в час

Answer 1

Дано:
V₁=36 км/ч=10 м/с,
V₂=54 км/ч=15 м/с
S₁=S₂
Найти: Vср
Если половины пути равны, то средняя скорость вычисляется так :
Vср= 2V₁*V₂/(V₁+V₂), Vср= 2*10*15/(10+15)=12 м/с=43,2 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

Let's calculate the average speed step by step.

1. Calculating Total Distance: - Since the car travels the first half at 36 km/h and the second half at 54 km/h, the total distance can be calculated as the sum of the distances traveled at each speed.

- The total distance traveled is equal to the distance traveled at 36 km/h plus the distance traveled at 54 km/h.

2. Calculating Total Time: - The total time can be calculated by adding the time taken for the first half and the time taken for the second half.

- Time = Distance / Speed

3. Finding the Average Speed: - Using the formula mentioned above, we can find the average speed of the car.

Let's calculate the average speed using the provided information.

Calculation

1. Calculating Total Distance: - Let's assume the total distance traveled is represented by 'd'. - The distance traveled at 36 km/h is 'd/2'. - The distance traveled at 54 km/h is also 'd/2'. - Therefore, the total distance is 'd/2 + d/2 = d'.

2. Calculating Total Time: - Time taken at 36 km/h = Distance / Speed = (d/2) / 36 = d/72 hours - Time taken at 54 km/h = Distance / Speed = (d/2) / 54 = d/108 hours - Total time = d/72 + d/108 = (3d + 2d) / 216 = 5d / 216 hours

3. Finding the Average Speed: - Average Speed = Total Distance / Total Time = d / (5d / 216) = 216 / 5 = 43.2 km/h

Answer

The average speed of the car is 43.2 km/h. This is the speed at which the car would have had to travel the entire distance to cover it in the same amount of time as it did at the varying speeds