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

Options

A. 250 metres
B. 225 metres
C. 200 metres
D. 125 metres

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. **Understand the Given Information:**
- A runs 20 meters while B runs 25 meters. This means that in the time it takes A to run 20 meters, B runs 25 meters.

2. **Calculate the Distance B Beats A By in the Given Race:**
- In the 25 meters that B runs, A runs 20 meters. Therefore, B beats A by:
\[ \text{Distance B beats A} = 25 \text{ meters} - 20 \text{ meters} = 5 \text{ meters} \]

3. **Set Up the Proportionality for a 1 km Race:**
- We need to find out how much B would beat A by in a 1 km race (1000 meters).
- The ratio of the distances run by A and B is:
\[ \frac{5 \text{ meters (B's lead)}}{25 \text{ meters (B's distance)}} = \frac{1}{5} \]

4. **Calculate the Distance B Beats A By in 1000 Meters:**
- If B beats A by 5 meters in 25 meters, we can scale this up to 1000 meters:
\[ \text{Distance B beats A in 1000 meters} = 1000 \text{ meters} \times \frac{1}{5} = 200 \text{ meters} \]

5. **Conclusion:**
- Therefore, in a 1 km race, B beats A by **200 meters**.

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

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