A person travels a distance of 20 km at a speed of 10 km/h. How much distance can he travel for the same time period, if he travels at 20 km/h?

Answer

To solve the problem step by step, we will first calculate the time taken to travel the initial distance at the first speed, and then use that time to find out how much distance can be traveled at the second speed.

### Step 1: Calculate the time taken to travel 20 km at a speed of 10 km/h.

The formula to calculate time is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Here, the distance is 20 km and the speed is 10 km/h.

\[ \text{Time} = \frac{20 \text{ km}}{10 \text{ km/h}} = 2 \text{ hours} \]

### Step 2: Use the time calculated to find the distance traveled at 20 km/h.

Now that we know the time taken is 2 hours, we can calculate the distance that can be traveled at a speed of 20 km/h using the same formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Here, the speed is 20 km/h and the time is 2 hours.

\[ \text{Distance} = 20 \text{ km/h} \times 2 \text{ hours} = 40 \text{ km} \]

### Final Answer:
The person can travel **40 km** at a speed of 20 km/h for the same time period.

---