The average speed of a bus is 8 times the average speed of a bike. The bike covers a distance of 186 km in 3 hours. How much distance will the bus cover in 10 hours ?

Options

A. 4069 km
B. 4096 km
C. 4960 km
D. 4690 km

Explanation

To solve the problem step by step, let's break it down:

### Step 1: Calculate the average speed of the bike.
The average speed of the bike can be calculated using the formula:

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

Given that the bike covers a distance of 186 km in 3 hours, we can substitute these values into the formula:

\[ \text{Speed of bike} = \frac{186 \text{ km}}{3 \text{ hours}} = 62 \text{ km/h} \]

### Step 2: Calculate the average speed of the bus.
According to the problem, the average speed of the bus is 8 times the average speed of the bike. Therefore, we can calculate the speed of the bus as follows:

\[ \text{Speed of bus} = 8 \times \text{Speed of bike} = 8 \times 62 \text{ km/h} = 496 \text{ km/h} \]

### Step 3: Calculate the distance covered by the bus in 10 hours.
Now that we have the speed of the bus, we can find out how much distance the bus will cover in 10 hours using the same speed formula:

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

Substituting the speed of the bus and the time into the formula:

\[ \text{Distance covered by bus} = 496 \text{ km/h} \times 10 \text{ hours} = 4960 \text{ km} \]

### Final Answer:
The bus will cover a distance of **4960 km** in 10 hours.

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