A car travels 165 km in 3 hours.
How long will it take to travel 440 km?

Answer

To solve the problem step by step, we need to determine how long it will take for a car to travel 440 km, given that it travels 165 km in 3 hours.

### Step 1: Find the time taken to travel 1 km
We know that the car travels 165 km in 3 hours. To find the time taken to travel 1 km, we can use the following formula:

\[ \text{Time for 1 km} = \frac{\text{Total time}}{\text{Distance}} = \frac{3 \text{ hours}}{165 \text{ km}} \]

### Step 2: Calculate the time for 1 km
Now, we will simplify the fraction:

\[ \text{Time for 1 km} = \frac{3}{165} \text{ hours} \]

To simplify \( \frac{3}{165} \), we can divide both the numerator and the denominator by 3:

\[ \text{Time for 1 km} = \frac{1}{55} \text{ hours} \]

### Step 3: Find the time taken to travel 440 km
Now that we know the time taken to travel 1 km, we can find the time taken to travel 440 km by multiplying the time for 1 km by 440:

\[ \text{Time for 440 km} = 440 \times \frac{1}{55} \text{ hours} \]

### Step 4: Calculate the total time for 440 km
Now, we can simplify this calculation:

\[ \text{Time for 440 km} = \frac{440}{55} \text{ hours} \]

To simplify \( \frac{440}{55} \):

\[ \text{Time for 440 km} = 8 \text{ hours} \]

### Final Answer
Thus, the time taken to travel 440 km is **8 hours**.

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