You have steamed 540 miles at 22 knots and burning 618 barrels of fuel per day. You must decrease your consumption to 372 barrels per day with 299 miles left in your voyage. What must you reduce your speed (kts) to in order to burn this amount of fuel?
• Fuel consumption vs. speed relationship (typically proportional to fuel per hour at a given speed) • How to convert distance and speed into time using ( t = \frac{D}{S} ) • Comparing fuel burned per day at two different speeds for the remaining distance
• First, find how many days it took to steam the first 540 miles at 22 knots, then relate that to the 618 barrels/day burn rate. • For the remaining 299 miles, express the travel time (in days) as a function of an unknown speed, then multiply by the new desired burn rate (372 barrels/day). • Ask yourself: what must the new speed be so that the total fuel burned for 839 miles is consistent with both the initial and reduced daily burn rates?
• Be sure you use time in days, not hours, when multiplying by barrels per day. • Confirm that your equation uses total fuel burned = fuel from first leg + fuel from second leg. • After you solve for speed, check that it is reasonable compared to 22 knots (it should be lower if you are burning less per day).
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