SOLUTION: You are part of the rescue team in a ship at sea. One of your divers is 250 feet below sea level, and she injured herself. She has only a 7 minute supply of air in her tank, and ca

Question 913021: You are part of the rescue team in a ship at sea. One of your divers is 250 feet below sea level, and she injured herself. She has only a 7 minute supply of air in her tank, and can only rise towards the surface at a rate of 10 feet per minute. You are sending down a rescue sub. The sub can descend at a rate of 30 feet per minute. Will the diver still have any oxygen left in her tank when the sub gets to her?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in minutes until
the sub meets the diver
Let = distance in feet the
diver rises in minutes
----------------------
Equation for diver:
(1)
Equation for sub:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2)
----------------
The sub meets the diver .75 min ( 45 sec )
before diver runs out of oxygen

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