Final answer:
The speed of the car before the brakes were applied is 60 ft/s.
Step-by-step explanation:
To find the speed of the car before the brakes were applied, we can use the given formula: s = 24 * √(d), where s is the skid marks and d is the distance traveled by the car. In this case, the skid marks are given as 150ft, so we can substitute s = 150 into the formula. Solving for d, we get d = (s/24)^2 = (150/24)^2 = 6.25. Therefore, the car traveled a distance of 6.25ft before the brakes were applied. Since the formula gives the speed in feet per second, the speed of the car before the brakes were applied is 24 * √(6.25) = 24 * 2.5 = 60ft/s.