You have steamed 463 miles at 19 knots and burning 440 barrels of fuel per day. You must decrease your consumption to 200 barrels per day with 410 miles left in your voyage. What must you reduce your speed (kts) to in order to burn this amount of fuel?
• Relationship between speed, time, and distance: ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} ) • How fuel consumption per day changes when speed changes (assume same fuel rate per hour at a given speed) • Using the first leg of the voyage to find a fuel burn rate per mile or per hour, then applying it to the second leg
• From the first part of the trip, how long (in hours) did it take to steam 463 miles at 19 knots? • Given you burned 440 barrels per day on that leg, how many barrels per hour (or per mile) were you burning? • For the remaining 410 miles, if you are only allowed 200 barrels per day, what fuel burn per hour does that correspond to, and what speed would give you that rate if fuel burn is proportional to speed?
• Carefully convert days to hours when going from barrels/day to barrels/hour • Be consistent with units: keep knots, miles, hours matched correctly • Before picking an answer, check that the new speed is lower than 19 knots and that the total daily fuel comes out close to 200 barrels/day when you recompute it
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