Ajay drove at a constant speed covering a distance of 50 kilometers in 80 minutes. What was his speed per hour ?

Answer

To find Ajay's speed in kilometers per hour, we can follow these steps:

### Step 1: Identify the given values
- Distance covered by Ajay = 50 kilometers
- Time taken = 80 minutes

### Step 2: Convert time from minutes to hours
To convert minutes into hours, we use the conversion factor that 1 hour = 60 minutes. Therefore, we divide the time in minutes by 60.

\[ \text{Time in hours} = \frac{80 \text{ minutes}}{60} = \frac{4}{3} \text{ hours} \]

### Step 3: Use the speed formula
The formula for speed is given by:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Substituting the values we have:

\[ \text{Speed} = \frac{50 \text{ km}}{\frac{4}{3} \text{ hours}} \]

### Step 4: Simplify the fraction
To divide by a fraction, we multiply by its reciprocal:

\[ \text{Speed} = 50 \text{ km} \times \frac{3}{4} \]

Calculating this gives:

\[ \text{Speed} = \frac{150}{4} \text{ km/h} \]

### Step 5: Calculate the final speed
Now, we divide 150 by 4:

\[ \text{Speed} = 37.5 \text{ km/h} \]

### Final Answer
Ajay's speed is **37.5 kilometers per hour**.

---