Your ship has steamed 2061 miles at 24 knots using 850 tons of fuel oil. The distance remaining to your next port is 1645 miles. If you decrease speed to 19 knots, how much fuel will be used to reach that port?
⢠Relationship between speed, time, and distance: ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} ) ⢠How to find fuel consumption per hour (or per mile) from a known run ⢠Adjusting fuel usage when speed changes but fuel rate is assumed proportional to power/speed for this type of exam problem
⢠First, from the initial leg, can you find how many hours the ship steamed using 850 tons of fuel? ⢠Once you know the total hours and total fuel, can you compute how many tons of fuel per hour were used at 24 knots? ⢠For the remaining distance at 19 knots, can you find how many hours the run will take, and then use your fuel-per-hour figure to estimate total fuel used?
⢠Be sure to convert distance and speed to time correctly: ( t = \frac{D}{S} ) and keep track of units (hours, miles, knots). ⢠Double-check that you are using fuel per hour, not fuel per mile, consistently throughout the problem. ⢠After you get your fuel amount, compare it to 850 tons. At a lower speed for a similar distance, should you expect more or less total fuel than was used on the first leg?
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