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. Zero

Answer

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 \(d\) in one direction and then returns back to the starting point, which means it travels the same distance \(d\) back. 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 distance \(d\) and then takes 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
Average speed is defined as the total distance traveled divided by the total time taken. Therefore, we can calculate the average speed as follows:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{2d}{5} \text{ km/h} \]

### Final Answer
Thus, the average speed of the car is:
\[ \text{Average Speed} = \frac{2d}{5} \text{ km/h} \]

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