A bus is running at a speed of 90 kmph. What distance will it cover in 20 seconds?

A. 500m

B. 450 m

C. 180m

D. 600 m

Options

A. A
B. C
C. D
D. B

Answer

To solve the problem of how far a bus traveling at a speed of 90 km/h will cover in 20 seconds, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed is given in kilometers per hour (km/h), and we need to convert it to meters per second (m/s) because the distance we want to find is in meters.

1. **Conversion factor**:
- 1 km = 1000 meters
- 1 hour = 3600 seconds

2. **Conversion calculation**:
\[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ m}}{3600 \text{ s}} \]
\[ \text{Speed in m/s} = 90 \times \frac{1000}{3600} \]

3. **Simplifying the fraction**:
\[ \frac{1000}{3600} = \frac{100}{360} = \frac{5}{18} \]
Thus,
\[ \text{Speed in m/s} = 90 \times \frac{5}{18} \]

4. **Calculating the speed**:
\[ \text{Speed in m/s} = 90 \times \frac{5}{18} = 25 \text{ m/s} \]

### Step 2: Use the formula to calculate distance
Now that we have the speed in meters per second, we can use the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

1. **Substituting the values**:
\[ \text{Distance} = 25 \text{ m/s} \times 20 \text{ s} \]

2. **Calculating the distance**:
\[ \text{Distance} = 500 \text{ m} \]

### Conclusion
The distance covered by the bus in 20 seconds is **500 meters**. Therefore, the correct answer is **A. 500 m**.

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