A car is running at speed of 108 kmph. What distance will it cover in 15 seconds ?

Options

A. 45 meter
B. 55 meter
C. 450 meter
D. cannot be determined

Answer

To solve the problem of how far a car traveling at a speed of 108 km/h will cover in 15 seconds, we can follow these steps:

### Step 1: Understand the relationship between distance, speed, and time.
The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

### Step 2: Convert the speed from kilometers per hour to meters per second.
Since the speed is given in kilometers per hour (km/h) and we need to find the distance in meters, we must convert the speed to meters per second (m/s). The conversion factor is:
\[ 1 \text{ km/h} = \frac{5}{18} \text{ m/s} \]

Now, we can convert 108 km/h to m/s:
\[ \text{Speed in m/s} = 108 \times \frac{5}{18} \]

### Step 3: Perform the calculation for the speed conversion.
Calculating the above expression:
\[ 108 \div 18 = 6 \quad \text{(simplifying)} \]
\[ 6 \times 5 = 30 \quad \text{(final speed in m/s)} \]
So, the speed of the car is 30 m/s.

### Step 4: Calculate the distance using the formula.
Now that we have the speed in m/s, we can use the distance formula. The time given is 15 seconds:
\[ \text{Distance} = \text{Speed} \times \text{Time} = 30 \, \text{m/s} \times 15 \, \text{s} \]

### Step 5: Perform the multiplication to find the distance.
Calculating the distance:
\[ 30 \times 15 = 450 \, \text{meters} \]

### Final Answer:
The distance covered by the car in 15 seconds is **450 meters**.

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