Sure! Let's solve the problem step by step.
### Step 1: Understand the given data
- Speed of the car: [tex]\( 15 \, \text{m/s} \)[/tex]
- Distance to be covered: [tex]\( 12 \, \text{km} \)[/tex]
### Step 2: Convert kilometers to meters
Since speed is given in meters per second, it would be convenient to convert the distance from kilometers to meters. We know that:
[tex]\[ 1 \, \text{km} = 1000 \, \text{m} \][/tex]
So, the distance in meters is:
[tex]\[ 12 \, \text{km} \times 1000 \frac{\text{m}}{\text{km}} = 12000 \, \text{m} \][/tex]
### Step 3: Calculate the time taken to cover the distance
To find the time, we use the formula:
[tex]\[ \text{time} = \frac{\text{distance}}{\text{speed}} \][/tex]
Substitute the known values into the formula:
[tex]\[ \text{time} = \frac{12000 \, \text{m}}{15 \, \text{m/s}} \][/tex]
### Step 4: Simplify the equation
Perform the division:
[tex]\[ \text{time} = 800 \, \text{seconds} \][/tex]
### Final Answer
To cover a distance of [tex]\( 12 \, \text{km} \)[/tex] at a speed of [tex]\( 15 \, \text{m/s} \)[/tex], it will take the car [tex]\( 800 \, \text{seconds} \)[/tex].
