Quadratic Word Problem

Question

A woman falling from a building is modeled by the equation, h=-16t^2+300. Superman makes a path modeled by the equation, 100t+3h=600. Will he get to her before she hits the ground? If so at what height and what time?

Answer 1

100t + 3h = 600

3h = -100t + 600

h = -100t/3 + 200

-16t² + 300 = -100/3 + 200

-48t² + 900 = -100t + 600

-48t² - 100t - 300 = 0

Can you solve for t and answer?