You have steamed 449 miles at 19 knots and burning 476 barrels of fuel per day. You must decrease your consumption to 185 barrels per day with 362 miles left in your voyage. What must you reduce your speed (kts) to in order to burn this amount of fuel?
• Fuel consumption vs. time – daily burn rate is in barrels per 24 hours, so relate that to hours at sea • Speed–time–distance relationship: ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \) • Proportional reasoning – if fuel rate must drop from 476 to 185 barrels/day, how does that change allowable steaming time for the remaining distance?
• First, compute how many hours (or days) it will take to run the remaining 362 miles at an unknown speed. How can you express that time in terms of speed? • Given a target fuel use of 185 barrels per day, how many days (or hours) are you allowed to steam for the remaining leg? • Once you know the maximum time you’re allowed for 362 miles, what speed does that correspond to using the speed–time–distance formula?
• Make sure you convert days to hours (or vice versa) consistently when using fuel rate (barrels/day). • Check that your final speed is slower than 19 knots, since you are reducing fuel consumption significantly. • Verify that you only use the first leg (476 barrels/day at 19 knots) to understand the relationship between fuel rate and time, not to directly compute the new speed.
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