If a car covers a distance of 201.25 km in 3.5 hours, find the speed of the car.

Options

A. 57.5 km/h
B. 56.5 km/h
C. 58.5 km/h
D. 59.5 km/h

Answer

To find the speed of the car, we can use the formula for speed, which is:

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

### Step 1: Identify the given values
- Distance covered by the car = 201.25 km
- Time taken = 3.5 hours

### Step 2: Substitute the values into the formula
Now, we substitute the given values into the speed formula:

\[ \text{Speed} = \frac{201.25 \text{ km}}{3.5 \text{ hours}} \]

### Step 3: Simplify the division
To make the division easier, we can eliminate the decimal in the denominator. We can multiply both the numerator and the denominator by 10:

\[ \text{Speed} = \frac{201.25 \times 10}{3.5 \times 10} = \frac{2012.5}{35} \]

### Step 4: Perform the division
Now we divide 2012.5 by 35.

1. First, we can ignore the decimal and calculate \(20125 \div 35\).
2. 35 goes into 201 (5 times) because \(35 \times 5 = 175\).
3. Subtract \(201 - 175 = 26\).
4. Bring down the next digit (2), making it 262.
5. 35 goes into 262 (7 times) because \(35 \times 7 = 245\).
6. Subtract \(262 - 245 = 17\).
7. Bring down the next digit (5), making it 175.
8. 35 goes into 175 (5 times) because \(35 \times 5 = 175\).
9. Subtract \(175 - 175 = 0\).

So, \(20125 \div 35 = 575\).

### Step 5: Adjust for the decimal
Since we multiplied the numerator by 10 earlier, we need to adjust our final answer by dividing by 10:

\[ \text{Speed} = \frac{575}{10} = 57.5 \text{ km/h} \]

### Final Answer
The speed of the car is **57.5 km/h**.

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