A car travels a distance d on a straight road in two hours and then returns to the starting point in next three hours. Its average speed is:-

Options

A. `(d)/(5)`
B. `(2d)/(5)`
C. `(d)/(2)+(d)/(3)`
D. None of these

Explanation

To find the average speed of the car, we can follow these steps:

### Step 1: Determine the total distance traveled
The car travels a distance \( d \) to a certain point and then returns back to the starting point. Therefore, the total distance traveled by the car is:
\[ \text{Total Distance} = d + d = 2d \]

### Step 2: Determine the total time taken
The car takes 2 hours to travel to the point and 3 hours to return. Thus, the total time taken is:
\[ \text{Total Time} = 2 \text{ hours} + 3 \text{ hours} = 5 \text{ hours} \]

### Step 3: Calculate the average speed
The average speed is defined as the total distance traveled divided by the total time taken. Therefore, we can calculate the average speed as follows:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{2d}{5} \]

### Conclusion
The average speed of the car is:
\[ \text{Average Speed} = \frac{2d}{5} \]