19. Using the given data, find the average speed of a car.

\begin{tabular}{|c|c|}
\hline Time taken & Distance travelled \\
\hline 9 am to 10 am & 4 km \\
\hline 10 am to 11 am & 5 km \\
\hline 11 am to 12 pm & 3 km \\
\hline 12 pm to 1 pm & 6 km \\
\hline
\end{tabular}

Answer: [tex]$\qquad$[/tex]



Answer :

To find the average speed of the car, we'll need to follow these steps:

1. Identify the time intervals and distances:
- From 9 am to 10 am, the car travels 4 km.
- From 10 am to 11 am, the car travels 5 km.
- From 11 am to 12 pm, the car travels 3 km.
- From 12 pm to 1 pm, the car travels 6 km.

2. Calculate the total time taken:
- Each time interval is 1 hour.
- Adding up these intervals gives us the total time:
[tex]\[ 1 \text{ hour} + 1 \text{ hour} + 1 \text{ hour} + 1 \text{ hour} = 4 \text{ hours} \][/tex]

3. Calculate the total distance travelled:
- Adding up all the distances gives us the total distance:
[tex]\[ 4 \text{ km} + 5 \text{ km} + 3 \text{ km} + 6 \text{ km} = 18 \text{ km} \][/tex]

4. Calculate the average speed:
- Average speed is calculated using the formula:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \][/tex]
- Plugging in the numbers:
[tex]\[ \text{Average speed} = \frac{18 \text{ km}}{4 \text{ hours}} = 4.5 \text{ km/h} \][/tex]

So, the average speed of the car is:
[tex]\[ \boxed{4.5 \text{ km/h}} \][/tex]