The odometer of a car reads ` 2000 km ` at the start of a trip and `2400 km` at the end of the trip . If the trip took `8 h` , calculate the average speed of the car in `km//h and m//s`.

Explanation

To solve the problem step by step, we will calculate the average speed of the car in both kilometers per hour (km/h) and meters per second (m/s).

### Step 1: Calculate the total distance traveled
The total distance traveled can be calculated by subtracting the initial odometer reading from the final odometer reading.

- Initial odometer reading = 2000 km
- Final odometer reading = 2400 km

**Total distance = Final odometer reading - Initial odometer reading**
\[ \text{Total distance} = 2400 \, \text{km} - 2000 \, \text{km} = 400 \, \text{km} \]

### Step 2: Calculate the average speed in km/h
Average speed is defined as the total distance traveled divided by the total time taken.

- Total time taken = 8 hours

**Average speed (in km/h) = Total distance / Total time**
\[ \text{Average speed} = \frac{400 \, \text{km}}{8 \, \text{h}} = 50 \, \text{km/h} \]

### Step 3: Convert average speed to m/s
To convert the average speed from kilometers per hour to meters per second, we use the conversion factor where 1 km/h is equal to \( \frac{1}{3.6} \) m/s.

**Average speed (in m/s) = Average speed (in km/h) × \( \frac{1000 \, \text{m}}{3600 \, \text{s}} \)**
\[ \text{Average speed} = 50 \, \text{km/h} \times \frac{1000 \, \text{m}}{3600 \, \text{s}} \]
\[ \text{Average speed} = 50 \times \frac{1000}{3600} \approx 13.89 \, \text{m/s} \]

### Final Answers:
- Average speed in km/h: **50 km/h**
- Average speed in m/s: **13.89 m/s**

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