A truck covers a distance of 330 km at the speed of 30km/hr . What is the average speed of a car which travels a distance of 110 km more than the truck in the same time ?

Options

A. 42 km/hr
B. 48km/hr
C. 39km/hr
D. None of these

Explanation

To solve the problem step-by-step, we can follow these steps:

### Step 1: Calculate the time taken by the truck
The truck covers a distance of 330 km at a speed of 30 km/hr. We can calculate the time taken using the formula:

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

Substituting the values:

\[ \text{Time} = \frac{330 \text{ km}}{30 \text{ km/hr}} = 11 \text{ hours} \]

### Step 2: Determine the distance traveled by the car
The car travels a distance that is 110 km more than the truck. Therefore, the distance traveled by the car is:

\[ \text{Distance of the car} = \text{Distance of the truck} + 110 \text{ km} \]

Substituting the values:

\[ \text{Distance of the car} = 330 \text{ km} + 110 \text{ km} = 440 \text{ km} \]

### Step 3: Calculate the average speed of the car
The average speed of the car can be calculated using the formula:

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

We already know the distance traveled by the car is 440 km, and the time taken is the same as the truck's time, which is 11 hours. So we can substitute these values:

\[ \text{Average Speed of the car} = \frac{440 \text{ km}}{11 \text{ hours}} = 40 \text{ km/hr} \]

### Final Answer
The average speed of the car is **40 km/hr**.

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