SOLUTION: In a test of a heat-seeking rocket, the target rocket is launched at 2000 ft/sec and the heat-seeking rocket is launched along the same flight path 12 seconds later at a speed of 3

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Question 252832: In a test of a heat-seeking rocket, the target rocket is launched at 2000 ft/sec and the heat-seeking rocket is launched along the same flight path 12 seconds later at a speed of 3200 ft/sec. Find the times t1 and t2 of flight of the rockets until the heat-seeking rocket destroys the first rocket.
Answer by Alan3354(69443) About Me  (Show Source):
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In a test of a heat-seeking rocket, the target rocket is launched at 2000 ft/sec and the heat-seeking rocket is launched along the same flight path 12 seconds later at a speed of 3200 ft/sec. Find the times t1 and t2 of flight of the rockets until the heat-seeking rocket destroys the first rocket.
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In 12 seconds, the target is 24000 feet away.
The 2nd rocket gains on it at 1200 ft/sec
24000/1200 = 20 seconds
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I don't see a need for t1 and t2, but
The target flies for 32 seconds.
The 2nd rocket flies for 20 seconds.