The C train is traveling ahead of the B train on the same track. Both are going in the same direction. Initially the C train is traveling at 10 m/s and the B train is traveling at 29 m/s. However, there is a signal malfunction and the B train doesn't know it's getting close to the C train. When the C train is 200 meters ahead of the B train, the B train conductor sees the C train and applies the brake resulting in a constant deceleration of 0.20 m/s2. Find out how long it takes after the brakes are applied for the trains to collide.