A bus travels at a speed of 25 m/s for 6 hours. What is the distance (in km) travelled by the bus?

Options

A. 500
B. 520
C. 540
D. 560

Answer

To find the distance traveled by the bus, we can use the formula:

**Distance = Speed × Time**

### Step 1: Convert the speed from meters per second to kilometers per hour.
The speed given is 25 m/s. To convert this to km/h, we use the conversion factor:

\[ 1 \text{ m/s} = \frac{18}{5} \text{ km/h} \]

So, we can convert 25 m/s to km/h as follows:

\[ \text{Speed in km/h} = 25 \text{ m/s} \times \frac{18}{5} \]

Calculating this gives:

\[ \text{Speed in km/h} = 25 \times 3.6 = 90 \text{ km/h} \]

### Step 2: Use the time given in the problem.
The time given is 6 hours.

### Step 3: Calculate the distance using the formula.
Now that we have the speed in km/h and the time in hours, we can calculate the distance:

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

Substituting the values we have:

\[ \text{Distance} = 90 \text{ km/h} \times 6 \text{ hours} \]

Calculating this gives:

\[ \text{Distance} = 540 \text{ km} \]

### Final Answer:
The distance traveled by the bus is **540 km**.

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