An athlete takes as much time in running 200 m as a car takes in covering 500 m.

Step 1: Understand the relationship between distances covered

The problem states that an athlete covers 200 m in the same amount of time a car covers 500 m.
This establishes a ratio between the distances covered by the athlete and the car for any given time interval.

Step 2: Determine the ratio of distances

The ratio of the distance covered by the athlete to the distance covered by the car is:
(Distance by athlete) / (Distance by car) = 200 / 500 = 2/5.

Step 3: Calculate the distance covered by the athlete when the car covers 2 km

The car covers 2 km, which is equal to 2 × 1000 m = 2000 m.
Let the distance covered by the athlete be x. Using the ratio from Step 2:

x / 2000 = 2/5

Step 4: Solve for x

Multiply both sides by 2000:
x = (2/5) × 2000 x = 2 × 400 x = 800 m

Answer:

The distance covered by the athlete during the time the car covers 2 km is (D) 800 m.