Question

Одну часть пути мотоцикл проехал со скоростью v1=20 км/ч, вторую часть пути – v2 = 40 км/ч, последнюю часть пути – v3 = 60 км/ч. Найти среднюю скорость мотоцикла на всем пути, если известно, что на каждом отрезке пути он проезжал одинаковое расстояние.

Answer 1

Средняя V=(S₁+S₁+S₃)/(t₁+t₂+t₃) так как S₁=S₁=S₃
V=3S₁/(S₁/V₁+S₁/V₂+S₁/V₃)=3V₁V₂V₃/(V₁V₂+V₁V₃+V₂V₃)
V=3*20*40*60/(20*40+20*60+40*60)=144000/4400=32,73 км/ч

Answer 2

Problem Analysis

We are given the speeds at which a motorcycle traveled different parts of a journey: v1 = 20 km/h, v2 = 40 km/h, and v3 = 60 km/h. We need to find the average speed of the motorcycle for the entire journey, assuming that the motorcycle traveled the same distance on each segment.

Solution

To find the average speed, we need to calculate the total distance traveled and the total time taken for the entire journey.

Let's assume that the distance traveled on each segment is d.

The time taken for each segment can be calculated using the formula: time = distance / speed.

The total distance traveled is 3d (since there are three segments), and the total time taken is d/v1 + d/v2 + d/v3.

The average speed is given by the formula: average speed = total distance / total time.

Let's calculate the average speed step by step.

Calculation

1. Calculate the total time taken: - Time taken for the first segment: d / v1. - Time taken for the second segment: d / v2. - Time taken for the third segment: d / v3. - Total time taken: d / v1 + d / v2 + d / v3.

2. Calculate the total distance traveled: - Total distance traveled: 3d.

3. Calculate the average speed: - Average speed = total distance / total time.

Answer

The average speed of the motorcycle for the entire journey, assuming the motorcycle traveled the same distance on each segment, can be calculated using the above steps.

Please note that the exact values of d, total time, and average speed cannot be determined without knowing the value of d. However, the general formula and steps to calculate the average speed have been provided.

Let me know if there is anything else I can help you with!