You are the pilot of a medical evacuation helicopter. At 5:30 am, you receive word that a passenger on a cruise ship fell seriously ill and needs to be airlifted as quickly as possible to the nearest hospital. The cruise ship was 400 miles away from the nearest port, where your hospital is located, when the distress signal was sent, but it is making its way back to port at its maximum speed of 10 miles per hour.
Your helicopter’s fuel capacity is 6,600 pounds of fuel, and it burns 1,200 pounds of fuel per hour when it is airborne. The process of airlifting passenger takes 30 minutes. Federal regulations stipulate that all medical evacuation helicopter pilots need to plan to retain at least an hour’s worth of fuel at all times. If your helicopter flies at 150 miles per hour, at what time must you leave the hospital to get to the cruise ship passenger as quickly as possible?
Please show me your work! It doesn't have to be detailed.
