You have steamed 432 miles at 18 knots and...

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Question 1 of 2066636eea28f7522a1c51b5ed

You have steamed 432 miles at 18 knots and burning 406 barrels of fuel per day. You must decrease your consumption to 221 barrels per day with 190 miles left in your voyage. What must you reduce your speed (kts) to in order to burn this amount of fuel?

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Question 1 of 20

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🔍 Key Concepts

• Relationship between speed, time, and distance: ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} ) • How fuel consumption per day changes with speed (is it direct, squared, or some other relationship in this question?) • Setting up a proportion between old operating condition and new operating condition

💭 Think About

• First, compute how many days it took to steam the first 432 miles at 18 knots, then use that to find how many barrels per hour were burned • Figure out how many hours it will take to run the last 190 miles at each possible speed choice, then how many barrels per hour that would allow to stay within 221 barrels per day • Think about whether the problem assumes a linear relationship between speed and fuel burn rate based on the information given

✅ Before You Answer

• Convert knots to miles per hour correctly (1 knot = 1 nautical mile per hour) and keep units consistent • Make sure to convert barrels per day to barrels per hour when needed: ( \text{bbl/hr} = \frac{\text{bbl/day}}{24} ) • Check that your final speed choice allows the vessel to travel 190 miles within the time that corresponds to 221 barrels per day at the adjusted hourly burn rate

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