CUET PG 2023 — Reasoning PYQ

Step 1: Establish the Ratio

When time is constant, the distance covered is directly proportional to the speed. According to the question, the time taken for the athlete to cover $200\text{ m}$ is the same as the time taken for the car to cover $500\text{ m}$.

The ratio of the distance covered by the athlete ($D_a$) to the distance covered by the car ($D_c$) is:

Step 2: Convert Units

The car covers a distance of $2\text{ km}$. We should convert this to meters to maintain consistency:

Step 3: Calculate the Athlete's Distance

Let the distance covered by the athlete be $x$. Since the ratio of distances remains the same for the same duration of time:

Now, solve for $x$:

Final Answer

The distance covered by the athlete during the time the car covers $2\text{ km}$ is $800\text{ m}$.