TJ SIS Math Problem 2016

This is an approximation of the February 20, 2016 TJ SIS Math Problem: It’s 5:30 AM, and as a helicopter pilot you’ve just been told there’s an injured man on a boat you need to get to a hospital. The boat is going towards where you are at 10 mph, but is currently 400 miles away. You need to get to him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour, and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter, and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?

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