
Автомобиль ехал 1.5 часа со скоростью 40 км/ч , 2.5 часа- со скоростью 60 км/ч , оставшуюся часть
пути -со скоростью 75 км/ч. определите среднюю скорость автомобиля, если всего он потратил 5 часов. ответ укажите в км/ч.

Ответы на вопрос




Problem Analysis
We are given the following information: - The car traveled for 1.5 hours at a speed of 40 km/h. - The car traveled for 2.5 hours at a speed of 60 km/h. - The remaining part of the journey was traveled at a speed of 75 km/h. - The total time taken for the journey was 5 hours.We need to determine the average speed of the car.
Solution
To find the average speed, we can use the formula:Average Speed = Total Distance / Total Time
To calculate the total distance, we need to find the distance traveled at each speed and then sum them up.
Let's calculate the distances traveled at each speed:
- Distance traveled at 40 km/h for 1.5 hours: 40 km/h * 1.5 hours = 60 km - Distance traveled at 60 km/h for 2.5 hours: 60 km/h * 2.5 hours = 150 km - Distance traveled at 75 km/h for the remaining time: Total distance - (60 km + 150 km)
Now, let's calculate the average speed using the formula mentioned above.
Calculation
- Distance traveled at 40 km/h for 1.5 hours: 40 km/h * 1.5 hours = 60 km - Distance traveled at 60 km/h for 2.5 hours: 60 km/h * 2.5 hours = 150 km - Distance traveled at 75 km/h for the remaining time: Total distance - (60 km + 150 km) = Total distance - 210 kmTotal distance = 60 km + 150 km + (Total distance - 210 km)
Simplifying the equation, we get:
Total distance = 210 km + Total distance - 210 km
Solving for Total distance, we get:
Total distance = 210 km
Now, let's calculate the average speed:
Average Speed = Total Distance / Total Time = 210 km / 5 hours = 42 km/h
Therefore, the average speed of the car is 42 km/h.
Answer
The average speed of the car is 42 km/h.


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