Question

Автомобиль проехал 50 км пути со скоростью 20 м/с, следующие 20 км пути – со скоростью 10 км/ч. Определите среднюю скорость автомобиля на всем участке пути.

Answer 1

Calculation of Average Speed

To calculate the average speed of the car on the entire route, we need to find the total distance traveled and the total time taken.

The car traveled 50 km with a speed of 20 m/s, which is equivalent to 72 km/h. Then, the car traveled the next 20 km with a speed of 10 km/h.

To find the total distance traveled, we add the distances covered in each segment: 50 km + 20 km = 70 km.

To find the total time taken, we need to convert the speeds to a common unit. Let's convert the speed of 20 m/s to km/h: 20 m/s * 3.6 = 72 km/h.

Now, we can calculate the total time taken for the first segment: Time = Distance / Speed = 50 km / 72 km/h = 0.6944 hours.

For the second segment, the speed is already in km/h, so we can directly calculate the time: Time = Distance / Speed = 20 km / 10 km/h = 2 hours.

The total time taken for the entire route is the sum of the times taken for each segment: Total Time = 0.6944 hours + 2 hours = 2.6944 hours.

Finally, we can calculate the average speed by dividing the total distance by the total time: Average Speed = Total Distance / Total Time = 70 km / 2.6944 hours ≈ 25.95 km/h.

Please note that the average speed is rounded to two decimal places.