To find the distance Car B will travel before catching up with Car A, we need to determine the time it takes for Car B to cover the initial distance of 200 meters.
The relative speed between the two cars can be calculated by subtracting the speed of Car A from the speed of Car B:
Relative speed = Speed of Car B - Speed of Car A
= 20 m/s - 15 m/s
= 5 m/s
Since Car B is trying to catch up with Car A, we will consider their relative speed as the effective speed at which Car B is moving.
Now, we can find the time it takes for Car B to cover the initial distance of 200 meters using the formula:
Time = Distance / Speed
Time = 200 meters / 5 m/s
= 40 seconds
Therefore, Car B will take 40 seconds to catch up with Car A.
To determine the distance Car B will travel before catching up with Car A, we can use the formula:
Distance = Speed × Time
Distance = 20 m/s × 40 seconds
= 800 meters
So, Car B will travel 800 meters before catching up with Car A.