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

Algebra ->  Coordinate Systems and Linear Equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the time in minutes until
the sub meets the diver
Let +d+ = distance in feet the
diver rises in +t+ minutes
----------------------
Equation for diver:
(1) +d+=+10t+
Equation for sub:
(2) +250+-+d+=+30t+
----------------------
Substitute (1) into (2)
(2) +250+-+10t+=+30t+
(2) +40t+=+250+
(2) +t+=+6.25+
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The sub meets the diver .75 min ( 45 sec )
before diver runs out of oxygen