A bus is running at a uniform speed. It covers a distance of435 km in 6 hours. How much distance will it cover in 8 hours ?

Answer

To solve the problem step by step, we will first determine the speed of the bus and then use that speed to find out how far it will travel in 8 hours.

### Step 1: Write down the given information
- Distance covered in 6 hours = 435 km

### Step 2: Calculate the speed of the bus
To find the speed of the bus, we use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting the values we have:
\[ \text{Speed} = \frac{435 \text{ km}}{6 \text{ hours}} \]

### Step 3: Perform the division
Now we calculate:
\[ \text{Speed} = 72.5 \text{ km/hour} \]

### Step 4: Calculate the distance covered in 8 hours
Now that we have the speed, we can find the distance covered in 8 hours using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting the values:
\[ \text{Distance} = 72.5 \text{ km/hour} \times 8 \text{ hours} \]

### Step 5: Perform the multiplication
Now we calculate:
\[ \text{Distance} = 580 \text{ km} \]

### Final Answer
The bus will cover a distance of **580 kilometers** in 8 hours.

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