A car covers a certain distance at a uniform speed of `66 2/3` km per hour. How much distance will it cover in 9 hours?

Answer

To find the distance covered by the car in 9 hours at a speed of \(66 \frac{2}{3}\) km per hour, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
The speed of the car is given as \(66 \frac{2}{3}\) km/h. We need to convert this mixed number into an improper fraction.

\[ 66 \frac{2}{3} = \frac{(66 \times 3) + 2}{3} = \frac{198 + 2}{3} = \frac{200}{3} \text{ km/h} \]

### Step 2: Use the formula for distance.
The formula for distance is:

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

Here, the speed is \(\frac{200}{3}\) km/h and the time is 9 hours.

### Step 3: Substitute the values into the formula.
Now we can substitute the values into the formula:

\[ \text{Distance} = \frac{200}{3} \times 9 \]

### Step 4: Multiply the fraction by the whole number.
To multiply the fraction by 9, we can write 9 as a fraction:

\[ \text{Distance} = \frac{200}{3} \times \frac{9}{1} = \frac{200 \times 9}{3 \times 1} = \frac{1800}{3} \]

### Step 5: Simplify the fraction.
Now we simplify \(\frac{1800}{3}\):

\[ \frac{1800}{3} = 600 \text{ km} \]

### Final Answer:
The car will cover a distance of **600 km** in 9 hours.

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