Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.

Answer

To find the ratio of the speed of Hamid to the speed of Akhtar, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the distances traveled by Hamid and Akhtar.**
- Hamid travels 9 km in an hour.
- Akhtar travels 12 km in an hour.

2. **Calculate the speed of Hamid.**
- The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- For Hamid:
\[ \text{Speed of Hamid} = \frac{9 \text{ km}}{1 \text{ hour}} = 9 \text{ km/h} \]

3. **Calculate the speed of Akhtar.**
- Using the same formula for Akhtar:
\[ \text{Speed of Akhtar} = \frac{12 \text{ km}}{1 \text{ hour}} = 12 \text{ km/h} \]

4. **Write the ratio of the speed of Hamid to the speed of Akhtar.**
- The ratio is given by:
\[ \text{Ratio of speed of Hamid to speed of Akhtar} = \frac{\text{Speed of Hamid}}{\text{Speed of Akhtar}} = \frac{9 \text{ km/h}}{12 \text{ km/h}} \]

5. **Simplify the ratio.**
- To simplify \(\frac{9}{12}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:
\[ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} \]

6. **State the final answer.**
- The ratio of the speed of Hamid to the speed of Akhtar is:
\[ \text{Ratio} = 3 : 4 \]