Question

Пассажир проехал половину времени на автомобиле со скоростью 100 км/ч. ,а половину времени-поездом со скоростью 60 км/ч.Найти среднюю скорость за все время.Автомобиль и поезд ехали по прямой в одном направлении

Answer 1

раз  он проехал и поездом и авто одинаковое время. значит средняя скорость будет (100+60)/2=80 км/ч - средняя скорость

Answer 2

Calculating Average Speed

To find the average speed for the entire journey, we can use the formula: average speed = total distance / total time. Let's calculate the average speed step by step.

1. Calculate the Total Distance: - Since the car and the train traveled in the same direction, the total distance covered by both is the sum of the distances covered by the car and the train.

2. Calculate the Total Time: - The passenger spent half the time traveling by car at 100 km/h and the other half traveling by train at 60 km/h.

3. Use the Formula: - After obtaining the total distance and total time, we can use the formula to find the average speed for the entire journey.

Calculation Steps

1. Calculate Total Distance: - Let's denote the total time of the journey as T. The distance covered by the car is 100 * (T/2) and the distance covered by the train is 60 * (T/2). Therefore, the total distance is 100 * (T/2) + 60 * (T/2).

2. Calculate Total Time: - The total time of the journey is T.

3. Use the Formula: - Average speed = total distance / total time.

Applying the Formula

- Average speed = (100 * (T/2) + 60 * (T/2)) / T

Simplifying the Equation

- Average speed = (100T/2 + 60T/2) / T - Average speed = (160T/2) / T - Average speed = 80 km/h

Therefore, the average speed for the entire journey is 80 km/h. This calculation assumes that the car and the train traveled in the same direction.