A can run 20 metres while B runs 25 metres. In a km race B beats A by—

Options

A. 25 m
B. 225 m
C. 200 m
D. 125 m

Answer

To solve the problem, we need to determine how much B beats A by in a 1 km race, given that A can run 20 meters while B runs 25 meters.

### Step-by-Step Solution:

1. **Understanding the Ratio of Distances**:
- A runs 20 meters while B runs 25 meters.
- The ratio of distances covered by A and B is 20:25, which simplifies to 4:5.

2. **Finding the Difference in Distance**:
- In the 25 meters that B runs, A runs 20 meters.
- Therefore, the difference in distance is \( 25 - 20 = 5 \) meters.
- This means that when B finishes 25 meters, A is 5 meters behind.

3. **Setting Up the 1 km Race**:
- We need to find out how much B beats A by in a 1 km race.
- 1 km is equal to 1000 meters.

4. **Calculating the Beat Distance**:
- Since B beats A by 5 meters in a 25-meter race, we can set up a proportion to find out how much B beats A in a 1000-meter race.
- The ratio of the distance B beats A by is \( \frac{5 \text{ meters}}{25 \text{ meters}} \).
- To find out how much B beats A in 1000 meters, we can multiply this ratio by 1000 meters:
\[ \text{Beat Distance} = \left(\frac{5}{25}\right) \times 1000 \]

5. **Simplifying the Calculation**:
- Simplifying \( \frac{5}{25} \) gives us \( \frac{1}{5} \).
- Now, calculate \( \frac{1}{5} \times 1000 = 200 \) meters.

6. **Final Answer**:
- Therefore, B beats A by 200 meters in a 1 km race.

### Conclusion:
B beats A by **200 meters** in a 1 km race.

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