Akhil is riding a bicycle at a speed of 12 km per hour. How much distance will Akhil cover in 3 hours and 40 minutes?

Answer

To find out how much distance Akhil will cover in 3 hours and 40 minutes while riding his bicycle at a speed of 12 km per hour, we can break the problem down into steps.

### Step 1: Convert the time into hours
First, we need to convert the total time of 3 hours and 40 minutes into hours.

- 3 hours is already in hours.
- 40 minutes can be converted into hours by dividing by 60 (since there are 60 minutes in an hour).

\[ 40 \text{ minutes} = \frac{40}{60} \text{ hours} = \frac{2}{3} \text{ hours} \approx 0.67 \text{ hours} \]

So, the total time in hours is:

\[ 3 + \frac{2}{3} = \frac{9}{3} + \frac{2}{3} = \frac{11}{3} \text{ hours} \]

### Step 2: Calculate the distance covered in 3 hours
Next, we calculate the distance Akhil covers in the first 3 hours.

Using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

The distance covered in 3 hours is:
\[ \text{Distance} = 12 \text{ km/h} \times 3 \text{ hours} = 36 \text{ km} \]

### Step 3: Calculate the distance covered in 40 minutes
Now, we calculate the distance covered in the remaining 40 minutes (which we converted to \(\frac{2}{3}\) hours).

Using the same formula:
\[ \text{Distance} = 12 \text{ km/h} \times \frac{2}{3} \text{ hours} = 8 \text{ km} \]

### Step 4: Calculate the total distance covered
Finally, we add the distances covered in both parts of the journey to find the total distance.

\[ \text{Total Distance} = 36 \text{ km} + 8 \text{ km} = 44 \text{ km} \]

### Conclusion
Thus, the total distance Akhil will cover in 3 hours and 40 minutes is **44 km**.

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