A person covers a certain distance in 6 hours, if travels at 40 km/hour . If he has to cover the same distance in 4 hours , then his speed must be :

Options

A. 50 Km,hour
B. 80 km/hour
C. 70 km/hour
D. 60 km/hour

Answer

To solve the problem step by step, we will first determine the distance covered by the person when traveling at a speed of 40 km/h for 6 hours. Then, we will calculate the required speed to cover the same distance in 4 hours.

### Step 1: Calculate the distance covered in 6 hours at 40 km/h.
- **Formula for distance:**
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
- **Given:**
- Speed = 40 km/h
- Time = 6 hours
- **Calculation:**
\[ \text{Distance} = 40 \, \text{km/h} \times 6 \, \text{hours} = 240 \, \text{km} \]

### Step 2: Determine the required speed to cover the same distance in 4 hours.
- **Given:**
- Distance = 240 km (from Step 1)
- Time = 4 hours
- **Formula for speed:**
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- **Calculation:**
\[ \text{Speed} = \frac{240 \, \text{km}}{4 \, \text{hours}} = 60 \, \text{km/h} \]

### Conclusion:
The required speed to cover the same distance in 4 hours is **60 km/h**.

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