If Mohit can cover a distance of 1872 km in 26 hours, then what is the speed of Mohit?

Options

A. 36 m/s
B. 20 m/s
C. 24 m/s
D. 72 m/s

Answer

To find the speed of Mohit, we can use the formula for speed, which is defined as the distance traveled divided by the time taken. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify the Distance and Time**:
- Distance covered by Mohit = 1872 km
- Time taken = 26 hours

2. **Use the Speed Formula**:
- Speed = Distance / Time
- Substitute the values into the formula:
\[ \text{Speed} = \frac{1872 \text{ km}}{26 \text{ hours}} \]

3. **Calculate the Speed**:
- Perform the division:
\[ \text{Speed} = 72 \text{ km/h} \]

4. **Convert Speed to Meters per Second**:
- To convert km/h to m/s, use the conversion factor:
\[ 1 \text{ km} = 1000 \text{ meters} \quad \text{and} \quad 1 \text{ hour} = 3600 \text{ seconds} \]
- Therefore, the conversion from km/h to m/s is:
\[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ m}}{3600 \text{ s}} \]
- Substitute the speed we calculated:
\[ \text{Speed in m/s} = 72 \times \frac{1000}{3600} \]

5. **Simplify the Conversion**:
- Simplifying the fraction:
\[ \text{Speed in m/s} = 72 \times \frac{1000}{3600} = 72 \times \frac{5}{18} \]
- Calculate:
\[ \text{Speed in m/s} = 72 \div 18 \times 5 = 4 \times 5 = 20 \text{ m/s} \]

### Final Answer:
The speed of Mohit is **20 meters per second**.