https://file.aiquickdraw.com/mathbot/file/1729782744191h0n649nr.jpg

The problem states:

- For the first 2 hours, the car traveled at a speed of 65.2 km/h.
- For the next 3 hours, the car traveled at 72 km/h.
- For the last hour, the car traveled at 80.5 km/h.

We are asked to find the average speed of the car over the entire journey.

### Step-by-step solution:

1. **Calculate total distance for each segment**:
   - Distance in the first 2 hours:  
     \( d_1 = 65.2 \, \text{km/h} \times 2 \, \text{h} = 130.4 \, \text{km} \)
   - Distance in the next 3 hours:  
     \( d_2 = 72 \, \text{km/h} \times 3 \, \text{h} = 216 \, \text{km} \)
   - Distance in the last hour:  
     \( d_3 = 80.5 \, \text{km/h} \times 1 \, \text{h} = 80.5 \, \text{km} \)

2. **Calculate total distance**:
   \[
   \text{Total distance} = d_1 + d_2 + d_3 = 130.4 + 216 + 80.5 = 426.9 \, \text{km}
   \]

3. **Calculate total time**:
   \[
   \text{Total time} = 2 + 3 + 1 = 6 \, \text{hours}
   \]

4. **Calculate average speed**:
   \[
   \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{426.9}{6} \approx 71.15 \, \text{km/h}
   \]

### Answer:
The average speed of the car over the entire journey is approximately **71.15 km/h**.

Would you like more details on any part of the solution, or have any questions?

### Related questions:
1. How is average speed calculated for a trip with multiple speed segments?
2. What is the difference between average speed and instantaneous speed?
3. How can you calculate the average speed when distance rather than time is given for each segment?
4. How would the result change if the time for each segment varied more significantly?
5. What factors could affect the average speed of a vehicle in real-life conditions?

### Tip:
Always ensure that the units for distance and time are consistent (e.g., kilometers and hours) when calculating average speed.

Первые два часа автомобиль ехал со скоростью 65,2 км/ч, следующие три часа — со скоростью 72 км/ч и последний час — со скоростью 80,5 км/ч. Найдите среднюю скорость автомобиля на всём пути. Ответ дайте в км/ч.

Learn how to calculate the average speed of a car traveling with different speeds over multiple time segments. This problem involves fundamental arithmetic concepts like average speed and distance calculation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation