The average speed of a car is two-third of the average speed of a train which travels 270 kms. in 3 hours. How much distance will the car cover in 5 hours?

Options

A. 360kms
B. 300 kms
C. 420 kms
D. 180kms

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the average speed of the train.
The train travels a distance of 270 kilometers in 3 hours. To find the average speed of the train, we use the formula:

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

Substituting the given values:

\[ \text{Speed of train} = \frac{270 \text{ km}}{3 \text{ hours}} = 90 \text{ km/h} \]

### Step 2: Calculate the average speed of the car.
The average speed of the car is given as two-thirds of the average speed of the train. Therefore, we calculate:

\[ \text{Speed of car} = \frac{2}{3} \times \text{Speed of train} \]

Substituting the speed of the train:

\[ \text{Speed of car} = \frac{2}{3} \times 90 \text{ km/h} = 60 \text{ km/h} \]

### Step 3: Calculate the distance covered by the car in 5 hours.
To find out how much distance the car will cover in 5 hours, we again use the formula for distance:

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

Substituting the speed of the car and the time:

\[ \text{Distance covered by car} = 60 \text{ km/h} \times 5 \text{ hours} = 300 \text{ km} \]

### Final Answer:
The car will cover a distance of **300 kilometers** in 5 hours.

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