A car covers 504kms in 9 hours. The average speed of motorcycle is 2.5 times the average speed of the car. How much distance will the motorcycle covers in 14 hours

Options

A. 1690km
B. 1609km
C. 1960km
D. 9610km

Answer

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

### Step 1: Calculate the average speed of the car.
The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Given that the car covers 504 km in 9 hours, we can calculate the speed of the car as follows:
\[ \text{Speed of the car} = \frac{504 \text{ km}}{9 \text{ hours}} = 56 \text{ km/h} \]

### Step 2: Calculate the average speed of the motorcycle.
The average speed of the motorcycle is given as 2.5 times the average speed of the car. Therefore:
\[ \text{Speed of the motorcycle} = 2.5 \times \text{Speed of the car} = 2.5 \times 56 \text{ km/h} \]
Calculating this gives:
\[ \text{Speed of the motorcycle} = 140 \text{ km/h} \]

### Step 3: Calculate the distance covered by the motorcycle in 14 hours.
Using the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
We can now calculate the distance covered by the motorcycle in 14 hours:
\[ \text{Distance} = 140 \text{ km/h} \times 14 \text{ hours} \]
Calculating this gives:
\[ \text{Distance} = 1960 \text{ km} \]

### Final Answer:
The motorcycle will cover **1960 km** in 14 hours.

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