A person has to travel a distance of 30 km. He finds that he has covered of the distance in 3 hours and 20 minutes. what is his speed in km/h?

Options

A. 9
B. 7.5
C. 6.3
D. 6

Answer

To find the speed of the person in km/h, we need to follow these steps:

### Step 1: Determine the distance covered
The total distance to be traveled is 30 km. The problem states that the person has covered a certain fraction of this distance. However, the fraction is missing in the question. Assuming he covered the entire distance of 30 km, we will proceed with this assumption.

### Step 2: Convert the time from hours and minutes to hours
The time given is 3 hours and 20 minutes. We need to convert this into hours:
- 20 minutes is equal to \( \frac{20}{60} \) hours, which simplifies to \( \frac{1}{3} \) hours.
- Therefore, the total time in hours is:
\[ 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \text{ hours} \]

### Step 3: Use the speed formula
Speed is calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting the values we have:
\[ \text{Speed} = \frac{30 \text{ km}}{\frac{10}{3} \text{ hours}} = 30 \times \frac{3}{10} = 9 \text{ km/h} \]

### Final Answer
The speed of the person is **9 km/h**.

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