If the distance travelled by a bus in 2 hours is 310 km, then the distance travelled by the same bus with the same speed in 360 second is _______

Options

A. 20 km
B. 3 km
C. 3.5 km
D. 15.5 km

Answer

To solve the problem step by step, we will determine the distance traveled by a bus in 360 seconds given that it travels 310 km in 2 hours.

### Step 1: Calculate the speed of the bus
First, we need to find the speed of the bus. The formula for speed is:

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

Given that the distance traveled in 2 hours is 310 km, we can calculate the speed.

\[ \text{Time in hours} = 2 \text{ hours} = 2 \times 3600 \text{ seconds} = 7200 \text{ seconds} \]

Now, substituting the values into the speed formula:

\[ \text{Speed} = \frac{310 \text{ km}}{7200 \text{ seconds}} \]

### Step 2: Calculate the speed in km/s
Now, we perform the calculation:

\[ \text{Speed} = \frac{310}{7200} \approx 0.04306 \text{ km/s} \]

### Step 3: Calculate the distance traveled in 360 seconds
Now, we need to find out how far the bus travels in 360 seconds using the speed we just calculated. We can use the distance formula:

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

Substituting the speed and the time (360 seconds):

\[ \text{Distance} = 0.04306 \text{ km/s} \times 360 \text{ seconds} \]

### Step 4: Perform the multiplication
Now, we calculate the distance:

\[ \text{Distance} = 0.04306 \times 360 \approx 15.5 \text{ km} \]

### Final Answer
The distance traveled by the bus in 360 seconds is **15.5 km**.

---