In this scenario, both cars A and B have the same kinetic energy before the brakes are applied. When the brakes are applied, an equal braking force is applied to both cars. This means that both cars will experience the same deceleration.

Since the braking force and deceleration are the same for both cars, the distance covered by each car before coming to rest will depend only on their initial velocities and not on their masses.

Therefore, option 3 is the correct answer - both cars will cover the same distance before coming to rest.

Option 1 suggests that car A will cover a greater distance, but this is incorrect since both cars have the same deceleration and braking force.

Option 2 suggests that car B will cover a greater distance, but this is also incorrect for the same reason as option 1.

Option 4 suggests that the distance covered will depend on the respective velocities of the cars, but this is also incorrect since the deceleration and braking force are the same for both cars.

It is important to note that the mass of the cars only affects the force required to accelerate or decelerate them, not the distance covered in this scenario.