
первую треть времени автомобиль движется со скоростью 30км/ч,а оставшееся время со скоростью
54км/ч. средняя путевая скорость автомобиля равна?

Ответы на вопрос

Ответ: 46 км/ч
Объяснение: На фото. Если недостаточно подробно, могу объяснить




Calculation of Average Speed
To calculate the average speed of a car that travels at different speeds for different durations, we can use the formula:
Average Speed = Total Distance / Total Time
In this case, we are given that the car travels at a speed of 30 km/h for the first third of the time and at a speed of 54 km/h for the remaining time.
Let's assume that the total time is represented by T.
The first third of the time is T/3, and the remaining time is 2T/3.
To calculate the total distance traveled, we can add the distances traveled at each speed:
Total Distance = Distance at 30 km/h + Distance at 54 km/h
The distance traveled at 30 km/h can be calculated by multiplying the speed by the time:
Distance at 30 km/h = 30 km/h * (T/3)
Similarly, the distance traveled at 54 km/h can be calculated as:
Distance at 54 km/h = 54 km/h * (2T/3)
Now, we can substitute these values into the formula for average speed:
Average Speed = (30 km/h * (T/3) + 54 km/h * (2T/3)) / T
Simplifying the equation:
Average Speed = (10T + 36T) / 3T
Average Speed = 46T / 3T
Average Speed = 46 / 3
Therefore, the average speed of the car is 15.33 km/h.
Please note that this calculation assumes a constant speed during each interval and does not take into account factors such as acceleration or deceleration.


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