Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.

In a test of a heat-seeking rocket, a first rocket is launched at 2000 ft/s, and the heat-seeking rocket is launched along the same flight path 12 s later at a speed of 3200 ft/s. Find the times t₁ and t₂ of flight of the rockets until the heat-seeking rocket destroys the first rocket.