There are twice the number of two wheelers as there are three wheelers and the number of 4 wheelers are equal to the number of two wheelers. The average number of wheel per vehicle is :

Options

A. 3
B. 4
C. 5
D. none of these

Answer

To solve the problem step by step, we need to define the number of each type of vehicle and calculate the total number of wheels and vehicles.

### Step 1: Define the number of three wheelers
Let the number of three wheelers be \( x \).

### Step 2: Define the number of two wheelers
According to the problem, there are twice the number of two wheelers as there are three wheelers. Therefore, the number of two wheelers will be:
\[ \text{Number of two wheelers} = 2x \]

### Step 3: Define the number of four wheelers
The problem states that the number of four wheelers is equal to the number of two wheelers. Thus, the number of four wheelers will also be:
\[ \text{Number of four wheelers} = 2x \]

### Step 4: Calculate the total number of vehicles
Now, we can find the total number of vehicles by adding the number of three wheelers, two wheelers, and four wheelers:
\[ \text{Total vehicles} = x + 2x + 2x = 5x \]

### Step 5: Calculate the total number of wheels
Next, we calculate the total number of wheels contributed by each type of vehicle:
- Three wheelers contribute \( 3 \times x = 3x \) wheels.
- Two wheelers contribute \( 2 \times 2x = 4x \) wheels.
- Four wheelers contribute \( 4 \times 2x = 8x \) wheels.

Adding these together gives us the total number of wheels:
\[ \text{Total wheels} = 3x + 4x + 8x = 15x \]

### Step 6: Calculate the average number of wheels per vehicle
To find the average number of wheels per vehicle, we divide the total number of wheels by the total number of vehicles:
\[ \text{Average wheels per vehicle} = \frac{\text{Total wheels}}{\text{Total vehicles}} = \frac{15x}{5x} = 3 \]

### Final Answer
The average number of wheels per vehicle is \( 3 \).

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