
Автомобиль из А в В ехал со средней скоростью 50 км/ч., а обратно возвращался со скоростью 30 км/ч.
Какова его средняя скорость?

Ответы на вопрос







Calculation of Average Speed
To calculate the average speed of a round trip, we need to consider the distances traveled and the time taken in each direction. In this case, the car traveled from point A to point B at a speed of 50 km/h and returned from point B to point A at a speed of 30 km/h.
Let's denote the distance from A to B as d. Since the car traveled at a speed of 50 km/h, the time taken to travel from A to B can be calculated using the formula:
Time taken from A to B = Distance / Speed = d / 50 Similarly, the time taken to return from B to A can be calculated using the formula:
Time taken from B to A = Distance / Speed = d / 30 The total time taken for the round trip is the sum of the time taken from A to B and the time taken from B to A:
Total time taken = (d / 50) + (d / 30)
To calculate the average speed, we divide the total distance traveled (2d) by the total time taken:
Average speed = Total distance / Total time taken = 2d / [(d / 50) + (d / 30)]
Simplifying the equation further:
Average speed = 2d / [(3d + 5d) / (1500)] = 2d * (1500 / 8d) = 375 km/h
Therefore, the average speed of the car for the round trip is 375 km/h.
Please note that the above calculation assumes that the car traveled the same distance from A to B and from B to A.
Conclusion
The average speed of the car for the round trip from point A to point B and back, with a speed of 50 km/h in one direction and 30 km/h in the other direction, is 375 km/h.
Let me know if there's anything else I can help with!


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