Your ship has steamed 1951 miles at 20 knots using 580 tons of fuel oil. The distance remaining to your next port is 1861 miles. If you increase speed to 24 knots, how much fuel will be used to reach that port?
• Fuel consumption rate (tons per mile) at the original speed • Relationship between speed and time: higher speed = less time for same distance • How a change in speed can affect fuel consumption per hour vs per mile
• First, find how many tons of fuel are used per mile at 20 knots. Then see how many tons would be used for the remaining miles if you stayed at 20 knots. • Compare the time it takes to steam the remaining distance at 20 knots vs at 24 knots. How does less time running the engines affect total fuel used? • Think about whether fuel use is proportional to distance only, or whether speed changes the fuel rate per hour/per mile in this kind of exam problem.
• Be sure to compute fuel consumption per mile correctly from the first leg. • Carefully compute the time to steam 1861 miles at both 20 and 24 knots using (\text{Time} = \frac{\text{Distance}}{\text{Speed}}). • Before choosing an answer, check that your final fuel figure for the remaining leg is reasonable compared to the 580 tons already used for a similar distance.
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